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 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1993 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
130 |
| Online Access: | |
| Physical Description: | 1 online resource (240 p.) |
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| LEADER | 06094nam a22014655i 4500 | ||
|---|---|---|---|
| 001 | 9781400882502 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
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| 019 | |a (OCoLC)990753639 | ||
| 020 | |a 9781400882502 | ||
| 024 | 7 | |a 10.1515/9781400882502 |2 doi | |
| 035 | |a (DE-B1597)468032 | ||
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| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 082 | 0 | 4 | |a 514/.7 |2 23 |
| 100 | 1 | |a Eells, James, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : |b Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / |c Andrea Ratto, James Eells. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2016] | |
| 264 | 4 | |c ©1993 | |
| 300 | |a 1 online resource (240 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 130 | |
| 505 | 0 | 0 | |t Frontmatter -- |t INTRODUCTION -- |t TABLE OF CONTENTS -- |t PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- |t PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- |t PART 3. HARMONIC MAPS BETWEEN SPHERES -- |t APPENDIX 1. SECOND VARIATIONS -- |t APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- |t APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- |t APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- |t REFERENCES -- |t INDEX |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Differential equations, Elliptic |x Numerical solutions. | |
| 650 | 0 | |a Harmonic maps. | |
| 650 | 0 | |a Immersions (Mathematics). | |
| 650 | 7 | |a MATHEMATICS / Geometry / Differential. |2 bisacsh | |
| 653 | |a Arc length. | ||
| 653 | |a Catenary. | ||
| 653 | |a Clifford algebra. | ||
| 653 | |a Codimension. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Compact space. | ||
| 653 | |a Complex projective space. | ||
| 653 | |a Connected sum. | ||
| 653 | |a Constant curvature. | ||
| 653 | |a Corollary. | ||
| 653 | |a Covariant derivative. | ||
| 653 | |a Curvature. | ||
| 653 | |a Cylinder (geometry). | ||
| 653 | |a Degeneracy (mathematics). | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Differential equation. | ||
| 653 | |a Differential geometry. | ||
| 653 | |a Elliptic partial differential equation. | ||
| 653 | |a Embedding. | ||
| 653 | |a Energy functional. | ||
| 653 | |a Equation. | ||
| 653 | |a Existence theorem. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Fiber bundle. | ||
| 653 | |a Gauss map. | ||
| 653 | |a Geometry and topology. | ||
| 653 | |a Geometry. | ||
| 653 | |a Gravitational field. | ||
| 653 | |a Harmonic map. | ||
| 653 | |a Hyperbola. | ||
| 653 | |a Hyperplane. | ||
| 653 | |a Hypersphere. | ||
| 653 | |a Hypersurface. | ||
| 653 | |a Integer. | ||
| 653 | |a Iterative method. | ||
| 653 | |a Levi-Civita connection. | ||
| 653 | |a Lie group. | ||
| 653 | |a Mathematics. | ||
| 653 | |a Maximum principle. | ||
| 653 | |a Mean curvature. | ||
| 653 | |a Normal (geometry). | ||
| 653 | |a Numerical analysis. | ||
| 653 | |a Open set. | ||
| 653 | |a Ordinary differential equation. | ||
| 653 | |a Parabola. | ||
| 653 | |a Quadratic form. | ||
| 653 | |a Sign (mathematics). | ||
| 653 | |a Special case. | ||
| 653 | |a Stiefel manifold. | ||
| 653 | |a Submanifold. | ||
| 653 | |a Suggestion. | ||
| 653 | |a Surface of revolution. | ||
| 653 | |a Symmetry. | ||
| 653 | |a Tangent bundle. | ||
| 653 | |a Theorem. | ||
| 653 | |a Vector bundle. | ||
| 653 | |a Vector space. | ||
| 653 | |a Vertical tangent. | ||
| 653 | |a Winding number. | ||
| 700 | 1 | |a Ratto, Andrea, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691102498 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400882502 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400882502 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400882502/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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| 912 | |a ZDB-23-PMB |c 1940 |d 2020 | ||