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Author:   Yuanlong Xin
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1996 ed.
Volume:   23
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   1.200kg
ISBN:  

9780817638207

ISBN 10:   0817638202
Pages:   246
Publication Date:   30 April 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I. Introduction.- 1.1 Vector Bundles.- 1.2 Harmonic Maps.- 1.3 A Bochner Type Formula.- 1.4 Basic Properties of Harmonic Maps.- II. Conservation Law.- 2.1 Stress-Energy Tensor and Conservation Law.- 2.2 Monotonicity Formula.- 2.3 Applications of Conservation Law to Liouville type Theorems.- 2.4 Further Generalizations.- III. Harmonic Maps and Gauss Maps.- 3.1 Generalized Gauss Maps.- 3.2 Cone-like Harmonic Maps.- 3.3 Generalized Maximum Principle.- 3.4 Estimates of Image Diameter and its Applications.- 3.5 Gauss Image of a Space-Like Hypersurface in Minkowski Space.- 3.6 Gauss Image of a Space-Like Submanifold in Pseudo-Euclidean Space.- IV. Harmonic Maps and Holomorphic Maps.- 4.1 Partial Energies.- 4.2 Harmonicity of Holomorphic Maps.- 4.3 Holomorphicity of Harmonic Maps.- V. Existence, Nonexistence and Regularity.- 5.1 Direct Method of the Calculus of Variations.- 5.2 Regularity Theorems.- 5.3 Nonexistence and Existence.- 5.4 Regularity Results of Harmonic Maps into Positively Curved Manifolds.- VI. Equivariant Harmonic Maps.- 6.1 Riemannian Submersions and Equivariant Harmonic Maps.- 6.2 Reduction Theorems.- 6.3 Equivariant Variational Formulas.- 6.4 On Harmonic Representatives of ?m(Sm).- 6.5 Harmonic Maps via Isoparametric Maps.- 6.6 Harmonic Maps of Projective Spaces.- 6.7 Equivariant Boundary Value Problems.- References.

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