Deforming a map into a harmonic map

Yang, Deane

doi:10.1090/S0002-9947-99-02402-2

Deforming a map into a harmonic map
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by Deane Yang

Trans. Amer. Math. Soc. 352 (2000), 1021-1038

DOI: https://doi.org/10.1090/S0002-9947-99-02402-2

Published electronically: March 8, 1999

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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.

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