Seminar on Differential Geometry. (AM-102), Volume 102 / / ed. by Shing-Tung Yau.
This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for A...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1982 |
Year of Publication: | 2016 |
Language: | English |
Series: | Annals of Mathematics Studies ;
102 |
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Physical Description: | 1 online resource (720 p.) |
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Seminar on Differential Geometry. (AM-102), Volume 102 / ed. by Shing-Tung Yau. Princeton, NJ : Princeton University Press, [2016] ©1982 1 online resource (720 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 102 Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY -- POINCARÉ INEQUALITIES ON RIEMANNIAN MANIFOLDS -- BONNESEN-TYPE INEQUALITIES IN ALGEBRAIC GEOMETRY, I: INTRODUCTION TO THE PROBLEM -- LIOUVILLE THEOREMS FOR HARMONIC MAPPINGS, AND AN APPROACH TO BERNSTEIN THEOREMS -- SUBHARMONIC FUNCTIONS, HARMONIC MAPPINGS AND ISOMETRIC IMMERSIONS -- AN ISOPERIMETRIC INEQUALITY AND WIEDERSEHEN MANIFOLDS -- ON THE BLASCHKE CONJECTURE -- BEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM THE Y AMABE PROBLEM -- GAUSSIAN AND SCALAR CURVATURE, AN UPDATE -- CONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLE -- RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETER -- COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE -- ENTIRE SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE IN MINKOWSKI SPACE -- APPLICATIONS OF THE MONGE-AMPERE OPERATORS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS -- EXTREMAL KÄHLER METRICS -- L2 HARMONIC FORMS ON COMPLETE MANIFOLDS -- L2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES -- FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE -- KÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASS -- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME -- LOCAL ISOMETRIC EMBEDDINGS -- YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS -- SYMMETRY AND ISOLATED SINGULARITIES OF CONFORMALLY FLAT METRICS AND OF SOLUTIONS OF THE YANG-MILLS EQUATIONS -- ON PARALLEL YANG-MILLS FIELDS -- VARIATIONAL PROBLEMS FOR GAUGE FIELDS -- SOME GEOMETRICAL ASPECTS OF INTEGRABLE NONLINEAR EVOLUTION EQUATIONS -- THE CONFORMALLY INVARIANT LAPLACIAN AND THE INSTANTON VANISHING THEOREM -- CAUSALLY DISCONNECTING SETS, MAXIMAL GEODESICS AND GEODESIC INCOMPLET-ENESS FOR STRONGLY CAUSAL SPACE-TIMES -- RENORMALIZATION -- METRICS WITH PRESCRIBED RICCI CURVATURE -- BLACK HOLE UNIQUENESS THEOREMS IN CLASSICAL AND QUANTUM GRAVITY -- GRAVITATIONAL INSTANTONS -- SOME UNSOLVED PROBLEMS IN CLASSICAL GENERAL RELATIVITY -- PROBLEM SECTION -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Differential equations, Partial. Geometry, Differential. MATHEMATICS / Geometry / Differential. bisacsh Aubin, Thierry, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bakelman, I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Beem, John K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bourguignon, Jean Pierre, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Calabi, Eugenio, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Chaohao, Gu, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cheeger, Jeff, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Chen, Hsing-Hen, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb DeTurck, Dennis M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dodziuk, Jozef, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ehrlich, Paul E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gidas, Basilis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Goresky, Mark, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Greene, R. E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gromoll, Detlef, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Grove, Karsten, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hildebrandt, Stefan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jacobowitz, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jaffe, Arthur, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Karp, Leon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kazdan, Jerry L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lapedes, A. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lawson, H. Blaine, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lee, Yee-Chun, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Li, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MacPherson, Robert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Michelsohn, M. L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ni, Wei-Ming, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Penrose, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Perry, Malcolm J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schoen, Richard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Siu, Yum-Tong, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Teissier, B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Treibergs, Andrejs E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Uhlenbeck, Karen K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wells, R. O., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Yang, C. T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Yau, Shing-Tung, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Yau, Shing-Tung, editor. edt http://id.loc.gov/vocabulary/relators/edt Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691082967 https://doi.org/10.1515/9781400881918 https://www.degruyter.com/isbn/9781400881918 Cover https://www.degruyter.com/document/cover/isbn/9781400881918/original |
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English |
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Aubin, Thierry, Aubin, Thierry, Bakelman, I., Bakelman, I., Beem, John K., Beem, John K., Bourguignon, Jean Pierre, Bourguignon, Jean Pierre, Calabi, Eugenio, Calabi, Eugenio, Chaohao, Gu, Chaohao, Gu, Cheeger, Jeff, Cheeger, Jeff, Chen, Hsing-Hen, Chen, Hsing-Hen, DeTurck, Dennis M., DeTurck, Dennis M., Dodziuk, Jozef, Dodziuk, Jozef, Ehrlich, Paul E., Ehrlich, Paul E., Gidas, Basilis, Gidas, Basilis, Goresky, Mark, Goresky, Mark, Greene, R. E., Greene, R. E., Gromoll, Detlef, Gromoll, Detlef, Grove, Karsten, Grove, Karsten, Hildebrandt, Stefan, Hildebrandt, Stefan, Jacobowitz, H., Jacobowitz, H., Jaffe, Arthur, Jaffe, Arthur, Karp, Leon, Karp, Leon, Kazdan, Jerry L., Kazdan, Jerry L., Lapedes, A. S., Lapedes, A. S., Lawson, H. Blaine, Lawson, H. Blaine, Lee, Yee-Chun, Lee, Yee-Chun, Li, Peter, Li, Peter, MacPherson, Robert, MacPherson, Robert, Michelsohn, M. L., Michelsohn, M. L., Ni, Wei-Ming, Ni, Wei-Ming, Penrose, R., Penrose, R., Perry, Malcolm J., Perry, Malcolm J., Schoen, Richard, Schoen, Richard, Siu, Yum-Tong, Siu, Yum-Tong, Teissier, B., Teissier, B., Treibergs, Andrejs E., Treibergs, Andrejs E., Uhlenbeck, Karen K., Uhlenbeck, Karen K., Wells, R. O., Wells, R. O., Yang, C. T., Yang, C. T., Yau, Shing-Tung, Yau, Shing-Tung, Yau, Shing-Tung, Yau, Shing-Tung, |
author_facet |
Aubin, Thierry, Aubin, Thierry, Bakelman, I., Bakelman, I., Beem, John K., Beem, John K., Bourguignon, Jean Pierre, Bourguignon, Jean Pierre, Calabi, Eugenio, Calabi, Eugenio, Chaohao, Gu, Chaohao, Gu, Cheeger, Jeff, Cheeger, Jeff, Chen, Hsing-Hen, Chen, Hsing-Hen, DeTurck, Dennis M., DeTurck, Dennis M., Dodziuk, Jozef, Dodziuk, Jozef, Ehrlich, Paul E., Ehrlich, Paul E., Gidas, Basilis, Gidas, Basilis, Goresky, Mark, Goresky, Mark, Greene, R. E., Greene, R. E., Gromoll, Detlef, Gromoll, Detlef, Grove, Karsten, Grove, Karsten, Hildebrandt, Stefan, Hildebrandt, Stefan, Jacobowitz, H., Jacobowitz, H., Jaffe, Arthur, Jaffe, Arthur, Karp, Leon, Karp, Leon, Kazdan, Jerry L., Kazdan, Jerry L., Lapedes, A. S., Lapedes, A. S., Lawson, H. Blaine, Lawson, H. Blaine, Lee, Yee-Chun, Lee, Yee-Chun, Li, Peter, Li, Peter, MacPherson, Robert, MacPherson, Robert, Michelsohn, M. L., Michelsohn, M. L., Ni, Wei-Ming, Ni, Wei-Ming, Penrose, R., Penrose, R., Perry, Malcolm J., Perry, Malcolm J., Schoen, Richard, Schoen, Richard, Siu, Yum-Tong, Siu, Yum-Tong, Teissier, B., Teissier, B., Treibergs, Andrejs E., Treibergs, Andrejs E., Uhlenbeck, Karen K., Uhlenbeck, Karen K., Wells, R. O., Wells, R. O., Yang, C. T., Yang, C. T., Yau, Shing-Tung, Yau, Shing-Tung, Yau, Shing-Tung, Yau, Shing-Tung, |
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author_sort |
Aubin, Thierry, |
title |
Seminar on Differential Geometry. (AM-102), Volume 102 / |
spellingShingle |
Seminar on Differential Geometry. (AM-102), Volume 102 / Annals of Mathematics Studies ; Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY -- POINCARÉ INEQUALITIES ON RIEMANNIAN MANIFOLDS -- BONNESEN-TYPE INEQUALITIES IN ALGEBRAIC GEOMETRY, I: INTRODUCTION TO THE PROBLEM -- LIOUVILLE THEOREMS FOR HARMONIC MAPPINGS, AND AN APPROACH TO BERNSTEIN THEOREMS -- SUBHARMONIC FUNCTIONS, HARMONIC MAPPINGS AND ISOMETRIC IMMERSIONS -- AN ISOPERIMETRIC INEQUALITY AND WIEDERSEHEN MANIFOLDS -- ON THE BLASCHKE CONJECTURE -- BEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM THE Y AMABE PROBLEM -- GAUSSIAN AND SCALAR CURVATURE, AN UPDATE -- CONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLE -- RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETER -- COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE -- ENTIRE SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE IN MINKOWSKI SPACE -- APPLICATIONS OF THE MONGE-AMPERE OPERATORS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS -- EXTREMAL KÄHLER METRICS -- L2 HARMONIC FORMS ON COMPLETE MANIFOLDS -- L2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES -- FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE -- KÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASS -- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME -- LOCAL ISOMETRIC EMBEDDINGS -- YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS -- SYMMETRY AND ISOLATED SINGULARITIES OF CONFORMALLY FLAT METRICS AND OF SOLUTIONS OF THE YANG-MILLS EQUATIONS -- ON PARALLEL YANG-MILLS FIELDS -- VARIATIONAL PROBLEMS FOR GAUGE FIELDS -- SOME GEOMETRICAL ASPECTS OF INTEGRABLE NONLINEAR EVOLUTION EQUATIONS -- THE CONFORMALLY INVARIANT LAPLACIAN AND THE INSTANTON VANISHING THEOREM -- CAUSALLY DISCONNECTING SETS, MAXIMAL GEODESICS AND GEODESIC INCOMPLET-ENESS FOR STRONGLY CAUSAL SPACE-TIMES -- RENORMALIZATION -- METRICS WITH PRESCRIBED RICCI CURVATURE -- BLACK HOLE UNIQUENESS THEOREMS IN CLASSICAL AND QUANTUM GRAVITY -- GRAVITATIONAL INSTANTONS -- SOME UNSOLVED PROBLEMS IN CLASSICAL GENERAL RELATIVITY -- PROBLEM SECTION -- Backmatter |
title_full |
Seminar on Differential Geometry. (AM-102), Volume 102 / ed. by Shing-Tung Yau. |
title_fullStr |
Seminar on Differential Geometry. (AM-102), Volume 102 / ed. by Shing-Tung Yau. |
title_full_unstemmed |
Seminar on Differential Geometry. (AM-102), Volume 102 / ed. by Shing-Tung Yau. |
title_auth |
Seminar on Differential Geometry. (AM-102), Volume 102 / |
title_alt |
Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY -- POINCARÉ INEQUALITIES ON RIEMANNIAN MANIFOLDS -- BONNESEN-TYPE INEQUALITIES IN ALGEBRAIC GEOMETRY, I: INTRODUCTION TO THE PROBLEM -- LIOUVILLE THEOREMS FOR HARMONIC MAPPINGS, AND AN APPROACH TO BERNSTEIN THEOREMS -- SUBHARMONIC FUNCTIONS, HARMONIC MAPPINGS AND ISOMETRIC IMMERSIONS -- AN ISOPERIMETRIC INEQUALITY AND WIEDERSEHEN MANIFOLDS -- ON THE BLASCHKE CONJECTURE -- BEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM THE Y AMABE PROBLEM -- GAUSSIAN AND SCALAR CURVATURE, AN UPDATE -- CONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLE -- RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETER -- COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE -- ENTIRE SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE IN MINKOWSKI SPACE -- APPLICATIONS OF THE MONGE-AMPERE OPERATORS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS -- EXTREMAL KÄHLER METRICS -- L2 HARMONIC FORMS ON COMPLETE MANIFOLDS -- L2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES -- FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE -- KÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASS -- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME -- LOCAL ISOMETRIC EMBEDDINGS -- YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS -- SYMMETRY AND ISOLATED SINGULARITIES OF CONFORMALLY FLAT METRICS AND OF SOLUTIONS OF THE YANG-MILLS EQUATIONS -- ON PARALLEL YANG-MILLS FIELDS -- VARIATIONAL PROBLEMS FOR GAUGE FIELDS -- SOME GEOMETRICAL ASPECTS OF INTEGRABLE NONLINEAR EVOLUTION EQUATIONS -- THE CONFORMALLY INVARIANT LAPLACIAN AND THE INSTANTON VANISHING THEOREM -- CAUSALLY DISCONNECTING SETS, MAXIMAL GEODESICS AND GEODESIC INCOMPLET-ENESS FOR STRONGLY CAUSAL SPACE-TIMES -- RENORMALIZATION -- METRICS WITH PRESCRIBED RICCI CURVATURE -- BLACK HOLE UNIQUENESS THEOREMS IN CLASSICAL AND QUANTUM GRAVITY -- GRAVITATIONAL INSTANTONS -- SOME UNSOLVED PROBLEMS IN CLASSICAL GENERAL RELATIVITY -- PROBLEM SECTION -- Backmatter |
title_new |
Seminar on Differential Geometry. (AM-102), Volume 102 / |
title_sort |
seminar on differential geometry. (am-102), volume 102 / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (720 p.) Issued also in print. |
contents |
Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY -- POINCARÉ INEQUALITIES ON RIEMANNIAN MANIFOLDS -- BONNESEN-TYPE INEQUALITIES IN ALGEBRAIC GEOMETRY, I: INTRODUCTION TO THE PROBLEM -- LIOUVILLE THEOREMS FOR HARMONIC MAPPINGS, AND AN APPROACH TO BERNSTEIN THEOREMS -- SUBHARMONIC FUNCTIONS, HARMONIC MAPPINGS AND ISOMETRIC IMMERSIONS -- AN ISOPERIMETRIC INEQUALITY AND WIEDERSEHEN MANIFOLDS -- ON THE BLASCHKE CONJECTURE -- BEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM THE Y AMABE PROBLEM -- GAUSSIAN AND SCALAR CURVATURE, AN UPDATE -- CONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLE -- RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETER -- COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE -- ENTIRE SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE IN MINKOWSKI SPACE -- APPLICATIONS OF THE MONGE-AMPERE OPERATORS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS -- EXTREMAL KÄHLER METRICS -- L2 HARMONIC FORMS ON COMPLETE MANIFOLDS -- L2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES -- FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE -- KÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASS -- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME -- LOCAL ISOMETRIC EMBEDDINGS -- YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS -- SYMMETRY AND ISOLATED SINGULARITIES OF CONFORMALLY FLAT METRICS AND OF SOLUTIONS OF THE YANG-MILLS EQUATIONS -- ON PARALLEL YANG-MILLS FIELDS -- VARIATIONAL PROBLEMS FOR GAUGE FIELDS -- SOME GEOMETRICAL ASPECTS OF INTEGRABLE NONLINEAR EVOLUTION EQUATIONS -- THE CONFORMALLY INVARIANT LAPLACIAN AND THE INSTANTON VANISHING THEOREM -- CAUSALLY DISCONNECTING SETS, MAXIMAL GEODESICS AND GEODESIC INCOMPLET-ENESS FOR STRONGLY CAUSAL SPACE-TIMES -- RENORMALIZATION -- METRICS WITH PRESCRIBED RICCI CURVATURE -- BLACK HOLE UNIQUENESS THEOREMS IN CLASSICAL AND QUANTUM GRAVITY -- GRAVITATIONAL INSTANTONS -- SOME UNSOLVED PROBLEMS IN CLASSICAL GENERAL RELATIVITY -- PROBLEM SECTION -- Backmatter |
isbn |
9781400881918 9783110494914 9783110442496 9780691082967 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA641 |
callnumber-sort |
QA 3641 |
url |
https://doi.org/10.1515/9781400881918 https://www.degruyter.com/isbn/9781400881918 https://www.degruyter.com/document/cover/isbn/9781400881918/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
516 - Geometry |
dewey-full |
516.36 |
dewey-sort |
3516.36 |
dewey-raw |
516.36 |
dewey-search |
516.36 |
doi_str_mv |
10.1515/9781400881918 |
oclc_num |
979579219 |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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Seminar on Differential Geometry. (AM-102), Volume 102 / |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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