Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells.
The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors...
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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] ©1993 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
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Eells, James, author. aut http://id.loc.gov/vocabulary/relators/aut Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / Andrea Ratto, James Eells. Princeton, NJ : Princeton University Press, [2016] ©1993 1 online resource (240 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 130 Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres. 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, Elliptic Numerical solutions. Harmonic maps. Immersions (Mathematics). MATHEMATICS / Geometry / Differential. bisacsh Arc length. Catenary. Clifford algebra. Codimension. Coefficient. Compact space. Complex projective space. Connected sum. Constant curvature. Corollary. Covariant derivative. Curvature. Cylinder (geometry). Degeneracy (mathematics). Diagram (category theory). Differential equation. Differential geometry. Elliptic partial differential equation. Embedding. Energy functional. Equation. Existence theorem. Existential quantification. Fiber bundle. Gauss map. Geometry and topology. Geometry. Gravitational field. Harmonic map. Hyperbola. Hyperplane. Hypersphere. Hypersurface. Integer. Iterative method. Levi-Civita connection. Lie group. Mathematics. Maximum principle. Mean curvature. Normal (geometry). Numerical analysis. Open set. Ordinary differential equation. Parabola. Quadratic form. Sign (mathematics). Special case. Stiefel manifold. Submanifold. Suggestion. Surface of revolution. Symmetry. Tangent bundle. Theorem. Vector bundle. Vector space. Vertical tangent. Winding number. Ratto, Andrea, author. aut http://id.loc.gov/vocabulary/relators/aut 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 9780691102498 https://doi.org/10.1515/9781400882502 https://www.degruyter.com/isbn/9781400882502 Cover https://www.degruyter.com/document/cover/isbn/9781400882502/original |
| language |
English |
| format |
eBook |
| author |
Eells, James, Eells, James, Ratto, Andrea, |
| spellingShingle |
Eells, James, Eells, James, Ratto, Andrea, Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / Annals of Mathematics Studies ; Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX |
| author_facet |
Eells, James, Eells, James, Ratto, Andrea, Ratto, Andrea, Ratto, Andrea, |
| author_variant |
j e je j e je a r ar |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Ratto, Andrea, Ratto, Andrea, |
| author2_variant |
a r ar |
| author2_role |
VerfasserIn VerfasserIn |
| author_sort |
Eells, James, |
| title |
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / |
| title_sub |
Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / |
| title_full |
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / Andrea Ratto, James Eells. |
| title_fullStr |
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / Andrea Ratto, James Eells. |
| title_full_unstemmed |
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / Andrea Ratto, James Eells. |
| title_auth |
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / |
| title_alt |
Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX |
| title_new |
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : |
| title_sort |
harmonic maps and minimal immersions with symmetries (am-130), volume 130 : methods of ordinary differential equations applied to elliptic variational problems. (am-130) / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (240 p.) Issued also in print. |
| contents |
Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX |
| isbn |
9781400882502 9783110494914 9783110442496 9780691102498 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA614 |
| callnumber-sort |
QA 3614.73 E35 41993EB |
| url |
https://doi.org/10.1515/9781400882502 https://www.degruyter.com/isbn/9781400882502 https://www.degruyter.com/document/cover/isbn/9781400882502/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
514 - Topology |
| dewey-full |
514/.7 |
| dewey-sort |
3514 17 |
| dewey-raw |
514/.7 |
| dewey-search |
514/.7 |
| doi_str_mv |
10.1515/9781400882502 |
| oclc_num |
954123605 |
| work_keys_str_mv |
AT eellsjames harmonicmapsandminimalimmersionswithsymmetriesam130volume130methodsofordinarydifferentialequationsappliedtoellipticvariationalproblemsam130 AT rattoandrea harmonicmapsandminimalimmersionswithsymmetriesam130volume130methodsofordinarydifferentialequationsappliedtoellipticvariationalproblemsam130 |
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n |
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cr |
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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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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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