Harmonic Maps Between Surfaces (with a Special Chapter on Conformal Mappings)

Jürgen Jost (auth.)9780387133393, 0-387-13339-9

Table of contents :
Introduction….Pages 1-12
Geometric considerations….Pages 12-18
Conformal mappings….Pages 18-38
Existence theorems for harmonic maps between surfaces….Pages 38-53
Uniqueness theorems….Pages 54-65
A-priori C 1,α -estimates….Pages 65-77
A-priori estimates from below for the functional determinant of harmonic diffeomorphisms….Pages 77-86
The existence of harmonic diffeomorphisms which solve a Dirichlet problem….Pages 86-90
C 1, α – a priori estimates for arbitrary domains. Non-variational existence proofs….Pages 90-98
Harmonic coordinates. C 2, α – a – priori estimates for harmonic maps….Pages 98-105
The existence of harmonic diffeomorphisms between surfaces….Pages 106-112
Applications of harmonic maps between surfaces….Pages 112-126