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Deforming a map into a harmonic map

Name: Deforming a map into a harmonic map
Creator: Deane Yang
Keywords: Mathematics - Differential Geometry, Ricci curvature, Differential Geometry (math.DG), Sobolev radius, complete noncompact manifold, FOS: Mathematics, Harmonic maps, etc., 0101 mathematics, 01 natural sciences, harmonic map

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 08 Mar 1999Embargo end date: 01 Jan 1996 English Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society, volume 352, pages 1,021-1,038 (issn: 0002-9947, eissn: 1088-6850,

Authors: Deane Yang;

doi: 10.1090/s0002-9947-99-02402-2 , 10.48550/arxiv.dg-ga/9609008

arXiv: http://arxiv.org/abs/dg-ga/9609008

Deforming a map into a harmonic map

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Abstract

This paper presents some existence and uniqueness theorems for harmonic maps between complete noncompact Riemannian manifolds. In particular, we obtain as a corollary a recent result of Hardt–Wolf on the existence of harmonic quasi-isometries of the hyperbolic plane.

Related Organizations

Polytechnic University
Japan
Polytechnic University of New York
United States

Keywords

Mathematics - Differential Geometry, Ricci curvature, Differential Geometry (math.DG), Sobolev radius, complete noncompact manifold, FOS: Mathematics, Harmonic maps, etc., harmonic map

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NSF| Mathematical Sciences: Applications of Elliptic PDE's to Geometry and Topology