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Harmonic maps between rotationally symmetric manifolds

Part of: Variational problems in infinite-dimensional spaces Global differential geometry

Published online by Cambridge University Press:  26 July 2012

A. Fotiadis
A. Fotiadis
Affiliation:
Department of Mathematics and Statistics, University of Cyprus, PO Box 20537, 1678 Nicosia, Cyprus ([email protected])
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Abstract

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We prove the existence and uniqueness of harmonic maps between rotationally symmetric manifolds that are asymptotically hyperbolic.

Keywords

rotationally symmetric manifoldsasymptotically hyperbolic manifoldsharmonic mapsDirichlet problem

MSC classification

Secondary: 58E20: Harmonic maps , etc. 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 3 , October 2012 , pp. 685 - 695
Copyright
Copyright © Edinburgh Mathematical Society 2012

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