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Harmonic Maps and Minimal Immersions With Symmetries : Methods...Jame
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- Buy It NowHarmonic Maps and Minimal Immersions With Symmetries : Methods...James Eells
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eBay item number:204224712371
Item specifics
- Condition
- Book Title
- Harmonic Maps and Minimal Immersions With Symmetries : Methods of
- ISBN
- 9780691102498
- Subject Area
- Mathematics
- 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)
- Publisher
- Princeton University Press
- Item Length
- 9.2 in
- Subject
- Differential Equations / General, Geometry / Differential, Topology, Differential Equations / Partial
- Publication Year
- 1993
- Series
- Annals of Mathematics Studies
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.6 in
- Item Weight
- 12 Oz
- Item Width
- 6.1 in
- Number of Pages
- 240 Pages
About this product
Product Identifiers
Publisher
Princeton University Press
ISBN-10
069110249X
ISBN-13
9780691102498
eBay Product ID (ePID)
22038768853
Product Key Features
Number of Pages
240 Pages
Language
English
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)
Subject
Differential Equations / General, Geometry / Differential, Topology, Differential Equations / Partial
Publication Year
1993
Type
Textbook
Subject Area
Mathematics
Series
Annals of Mathematics Studies
Format
Trade Paperback
Dimensions
Item Height
0.6 in
Item Weight
12 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
LCCN
92-038760
Dewey Edition
20
Series Volume Number
130
Illustrated
Yes
Dewey Decimal
514/.7
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
Synopsis
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., Presents a study of harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. This book covers the material which displays an interplay involving geometry, analysis and topology. It includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.
LC Classification Number
QA614.73.E35 1993
Copyright Date
1993
ebay_catalog_id
4
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:204224712371
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