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Harmonic Maps & Minimal Immersions with Symmetries by Eells (Softcov, Very Good)
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- Buy it nowHarmonic Maps & Minimal Immersions with Symmetries by Eells (Softcov, Very Good)
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eBay item number:126333492121
Item specifics
- Condition
- Book Title
- Harmonic Maps and Minimal Immersions With Symmetries : Methods of
- ISBN
- 9780691102498
- Publication Name
- Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130)
- Item Length
- 9.2in
- Publisher
- Princeton University Press
- Publication Year
- 1993
- Series
- Annals of Mathematics Studies
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.6in
- Item Width
- 6.1in
- Item Weight
- 12 Oz
- Number of Pages
- 240 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Princeton University Press
ISBN-10
069110249x
ISBN-13
9780691102498
eBay Product ID (ePID)
22038768853
Product Key Features
Publication Name
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130)
Format
Trade Paperback
Language
English
Publication Year
1993
Series
Annals of Mathematics Studies
Type
Textbook
Number of Pages
240 Pages
Dimensions
Item Length
9.2in
Item Height
0.6in
Item Width
6.1in
Item Weight
12 Oz
Additional Product Features
Series Volume Number
130
Lc Classification Number
Qa614.73.E35 1993
Table of Content
Introduction Pt. I Basic Variational and Geometrical Properties Ch. I Harmonic maps and minimal immersions Basic properties of harmonic maps 13 Minimal immersions 20 Ch. II Immersions of parallel mean curvature Parallel mean curvature 24 Alexandrov's theorem 29 Ch. III Surfaces of parallel mean curvature Theorems of Chern and Ruh-Vilms 34 Theorems of Almgren-Calabi and Hopf 37 On the Sinh-Gordon equation 40 Wente's theorem 42 Ch. IV Reduction techniques Riemannian submersions 48 Harmonic morphisms and maps into a circle 51 Isoparametric maps 54 Reduction techniques 58 Pt. II G-Invariant Minimal and Constant Mean Curvature Immersions Ch. V First examples of reductions G-equivariant harmonic maps 64 Rotation hypersurfaces in spheres 74 Constant mean curvature rotation hypersurfaces in R[superscript n] 81 Ch. VI Minimal embeddings of hyperspheres in S[superscript 4] Derivation of the equation and main theorem 92 Existence of solutions starting at the boundary 95 Analysis of the O.D.E. and proof of the main theorem 102 Ch. VII Constant mean curvature immersions of hyperspheres into R[superscript n] Statement of the main theorem 111 Analytical lemmas 114 Proof of the main theorem 120 Pt. III Harmonic Maps Between Spheres Ch. VIII Polynomial maps Eigenmaps S[superscript m] [actual symbol not reproducible] S[superscript n] 129 Orthogonal multiplications and related constructions 137 Polynomial maps between spheres 143 Ch. IX Existence of harmonic joins The reduction equation 151 Properties of the reduced energy functional J 154 Analysis of the O.D.E. 157 The damping conditions 161 Examples of harmonic maps 167 Ch. X The harmonic Hopf construction The existence theorem 171 Examples of harmonic Hopf constructions 179 [pi][subscript 3](S[superscript 2] and harmonic morphisms 182 Appendix 1 Second variations 188 Appendix 2 Riemannian immersions S[superscript m] [actual symbol not reproducible] S[superscript n] 200 Appendix 3 Minimal graphs and pendent drops 204 Appendix 4 Further aspects of pendulum type equations 208 References 213 Index 224
Copyright Date
1993
Topic
Differential Equations / General, Geometry / Differential, Topology, Differential Equations / Partial
Lccn
92-038760
Dewey Decimal
514/.7
Intended Audience
College Audience
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics
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eBay item number:126333492121
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