Deforming a map into a harmonic map

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Using a flow first introduced by J.P. Anderson, we obtain some existence theorems for harmonic maps from a noncompact complete Riemannian manifold into a complete Riemannian manifold. In particular, we prove as a corollary a recent result of Hardt and Wolf stating that any quasisymmetric map of the sphere that is sufficiently close to the identity can be extended to a quasiconformal harmonic diffeomorphism of the hyperbolic ball. This version contains a much simpler proof than the first version.
Major revision of earlier submission, 16 pages, AMSLaTeX

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/148776

Consulte el texto completo en el siguiente enlace:

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

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arXiv