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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A boundary value problem for Hermitian harmonic maps and applications
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by Jingyi Chen
Proc. Amer. Math. Soc. 124 (1996), 2853-2862
DOI: https://doi.org/10.1090/S0002-9939-96-03125-5

Abstract:

We study the existence and uniqueness problems for Hermitian harmonic maps from Hermitian manifolds with boundary to Riemannian manifolds of nonpositive sectional curvature and with convex boundary. The complex analyticity of such maps and the related rigidity problems are also investigated.
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Bibliographic Information
  • Jingyi Chen
  • Affiliation: Department of Mathematics, University of California, Irvine, California 92717
  • Address at time of publication: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Received by editor(s): July 22, 1994
  • Additional Notes: The author was partially supported by NSF grant #9300422
  • Communicated by: Peter Li
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2853-2862
  • MSC (1991): Primary 58E20, 53C55
  • DOI: https://doi.org/10.1090/S0002-9939-96-03125-5
  • MathSciNet review: 1301014