Harmonic Maps

By: James Eells

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Hardcover | 1 December 1991

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452 Pages

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24.77 x 17.15 x 1.91

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These original research papers have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian manifolds, and the second is to establish various existence and regularity theorems as well as the explicit constructions of such maps.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Geometry Differential & Riemannian Geometry Topology Analytic Topology Science Physics Booktopia Publisher Services World Scientific Publishing

Introduction
Harmonic mappings of Riemannian manifolds	p. 1
Energie et deformations en geometrie differentielle	p. 53
Variational theory in fibre bundles	p. 62
Restrictions on harmonic maps of surfaces	p. 75
The surfaces of Delaunay	p. 79
Minimal graphs	p. 84
On the construction of harmonic and holomorphic maps between surfaces	p. 92
Deformations of metrics and associated harmonic maps	p. 118
A conservation law for harmonic maps	p. 131
Maps of minimum energy	p. 156
The existence and construction of certain harmonic maps	p. 164
Harmonic maps from surfaces to complex projective spaces	p. 180
Examples of harmonic maps from disks to hemispheres	p. 227
Variational theory in fibre bundles: Examples	p. 230
Constructions twistorielles des applications harmoniques	p. 240
Removable singularities of harmonic maps	p. 243
On equivariant harmonic maps	p. 256
Regularity of certain harmonic maps	p. 275
Gauss maps of surfaces	p. 286
Minimal branched immersions into three-manifolds	p. 305
Twistorial construction of harmonic maps of surfaces into four-manifolds	p. 319
Certain variational principles in Riemannian geometry	p. 371
Harmonic maps and minimal surface coboundaries	p. 386
Unstable minimal surface coboundaries	p. 394
Harmonic maps between spheres and ellipsoids	p. 409
On representing homotopy classes by harmonic maps	p. 436
Table of Contents provided by Blackwell. All Rights Reserved.

Harmonic Maps

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