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Deforming a map into a harmonic map
Author(s):
Deane
Yang
Journal:
Trans. Amer. Math. Soc.
352
(2000),
1021-1038.
MSC (1991):
Primary 58G30
Posted:
March 8, 1999
MathSciNet review:
1624222
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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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Additional Information:
Deane
Yang
Affiliation:
Department of Mathematics, Polytechnic University, Six Metrotech Center, Brooklyn, New York 11201
Email:
yang@math.poly.edu
DOI:
10.1090/S0002-9947-99-02402-2
PII:
S 0002-9947(99)02402-2
Received by editor(s):
July 10, 1997
Received by editor(s) in revised form:
December 20, 1997
Posted:
March 8, 1999
Additional Notes:
I was partially supported by National Science Foundation grant DMS-9200576. Some of the work in this paper was done at l'Institut des Hautes Etudes Scientifiques. I would like thank the staff and the director, Jean--Pierre Bourguignon, for their support and hospitality. I would also like to thank Stephen Semmes, Curt McMullen, and Michael Wolf for helpful discussions. I am grateful to Peter Li and the referee for their comments on an earlier version of this paper and references to related results.
Copyright of article:
Copyright
1999,
American Mathematical Society
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