Mathematische Annalen

, Volume 364, Issue 3–4, pp 793–811

Proper harmonic maps between asymptotically hyperbolic manifolds


DOI: 10.1007/s00208-015-1229-5

Cite this article as:
Akutagawa, K. & Matsumoto, Y. Math. Ann. (2016) 364: 793. doi:10.1007/s00208-015-1229-5


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.

Mathematics Subject Classification

53C43 58J32 

Funding information

Funder NameGrant NumberFunding Note
Japan Society for the Promotion of Science
  • 24654009
Japan Society for the Promotion of Science
  • 26-11754

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of MathematicsTokyo Institute of TechnologyTokyoJapan

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