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.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Eells, James,; Ratto, Andrea,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1993
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 130
• Physical Description: 1 online resource (240 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400882502; 9783110494914; 9783110442496
• DOI: 10.1515/9781400882502
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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' 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.