UID:
almafu_9958352906002883
Format:
1 online resource (240 p.)
ISBN:
9781400882502
Series Statement:
Annals of Mathematics Studies ; 130
Content:
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.
Note:
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
,
In English.
Language:
English
DOI:
10.1515/9781400882502
URL:
https://doi.org/10.1515/9781400882502
URL:
https://www.degruyter.com/isbn/9781400882502
URL:
https://doi.org/10.1515/9781400882502
URL:
https://www.degruyter.com/isbn/9781400882502
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