Lectures on Harmonic Maps

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Overview

This volume presents important results from two well-known researchers in this field. The book can serve as an important reference tool for students working in this area. Included is a chapter on "Harmonic Maps and Superrigidity" written by J. Jost and S.-T. Yau.
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Product Details

  • ISBN-13: 9781571460028
  • Publisher: International Press of Boston, Incorporated
  • Publication date: 7/1/1997
  • Series: Monographs in Geometry and Topology
  • Edition description: New Edition
  • Pages: 394

Table of Contents

I Harmonic maps 1
II Compactifications of Teichmuller space 20
III Harmonic maps of Kahler manifolds with constant negative holomorphic sectional curvature 47
IV Minimal surfaces in a Kahler surface 72
V Stable minimal surfaces in Euclidean space 81
VI The existence of minimal immersions of 2-spheres 96
VII Manifolds with positive curvature on totally isotropic two-planes 117
VIII Compact Kahler manifolds of positive bisectional curvature 135
References 149
IX Analytic aspects of the harmonic map problem 155
X Sobolev spaces and harmonic maps for metric space targets 204
XI Moduli spaces of harmonic maps, compact group actions and the topology of manifolds with non-positive curvature 311
XII Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature 341
XIII Harmonic maps and superrigidity 350
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