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arXiv:1411.5117 [math.DG]AbstractReferencesReviewsResources

Proper harmonic maps between asymptotically hyperbolic manifolds

Kazuo Akutagawa, Yoshihiko Matsumoto

Published 2014-11-19Version 1

Generalizing the result of Li and Tam for the hyperbolic spaces, we prove an existence theorem on the Dirichlet problem for harmonic maps with $C^1$ boundary conditions at infinity between asymptotically hyperbolic manifolds.

Comments: 14 pages
Categories: math.DG
Subjects: 53C43, 58J32
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