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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the holomorphicity of harmonic maps from compact Kähler manifolds to hyperbolic Riemann surfaces
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by Kaoru Ono
Proc. Amer. Math. Soc. 102 (1988), 1071-1076
DOI: https://doi.org/10.1090/S0002-9939-1988-0934892-9

Abstract:

We give a sufficient condition in order that a harmonic map from a compact Kähler manifold with negative first Chern class to a compact hyperbolic Riemann surface be $\pm$ holomorphic. The above condition generalizes that of Eells and Wood concerning harmonic maps between Riemann surfaces. As a corollary we get a generalization of Kneser’s theorem.
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 1071-1076
  • MSC: Primary 58E20; Secondary 32H20, 53C55, 58C10
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0934892-9
  • MathSciNet review: 934892