Harmonic diffeomorphisms between complete surfaces
type: Item
instance of: scholarly article
title: Harmonic diffeomorphisms between complete surfaces
zbMATH Open document ID: 0884.58033
DOI: 10.1023/A:1006581318849
author: Derchyi Wu
published in: Annals of Global Analysis and Geometry
publication date: 1998-04-01T00:00:00Z
review text: Theorem: Let \(\varphi: M\to N\) be a diffeomorphism of finite energy between two complete Riemannian surfaces of genera \(\geq 1\) and of finite total curvature. Then \(\varphi\) can be deformed to a harmonic diffeomorphism of least energy in its homotopy class. The case where \(M\) and \(N\) are compact is due to \textit{J. Jost} and \textit{R. Schoen} [Invent. Math. 66, 353-359 (1982; Zbl 0488.58009)]. Proof of the Theorem uses their replacement argument.
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 1014197
zbMATH Keywords: harmonic diffeomorphism
zbMATH Keywords: complete Riemannian surfaces
reviewed by: J. Eells
MaRDI profile type: Publication
full work available at URL: a:1006581318849
OpenAlex ID: W49400941
Recommended article: A geometric characterization of harmonic diffeomorphisms between surfaces
Recommended article: Harmonic diffeomorphisms between complete Riemann surfaces of negative curvature
Recommended article: Harmonic maps and morphisms to surfaces
Recommended article: Q4981461
Recommended article: Q4647928
Recommended article: Harmonic diffeomorphisms of manifolds
Recommended article: Q4497350
Recommended article: Harmonic diffeomorphisms and conformal distortion of Riemann surfaces
Recommended article: Rotationally symmetric harmonic diffeomorphisms between surfaces
Recommended article: Harmonic Diffeomorphisms Between Hadamard Manifolds
description: scientific article; zbMATH DE number 1014197