Proper harmonic maps between asymptotically hyperbolic manifolds
Differential Geometry
2014-12-01 v2
Abstract
Generalizing the result of Li and Tam for the hyperbolic spaces, we prove an existence theorem on the Dirichlet problem for harmonic maps with boundary conditions at infinity between asymptotically hyperbolic manifolds.
Cite
@article{arxiv.1411.5117,
title = {Proper harmonic maps between asymptotically hyperbolic manifolds},
author = {Kazuo Akutagawa and Yoshihiko Matsumoto},
journal= {arXiv preprint arXiv:1411.5117},
year = {2014}
}
Comments
14 pages; Introduction revised, typos corrected