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
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| Autore: |
Eells James
|
| Titolo: |
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
|
| Pubblicazione: | Princeton, NJ : , : Princeton University Press, , [2016] |
| ©1993 | |
| Descrizione fisica: | 1 online resource (235 pages) : illustrations |
| Disciplina: | 514/.7 |
| Soggetto topico: | Harmonic maps |
| Immersions (Mathematics) | |
| Differential equations, Elliptic - Numerical solutions | |
| Soggetto non controllato: | 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 | |
| Persona (resp. second.): | RattoAndrea |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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 |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 |
| ISBN: | 1-4008-8250-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910154754703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Annals of mathematics studies ; ; no. 130.