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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An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity
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by James F. Glazebrook
Proc. Amer. Math. Soc. 107 (1989), 261-269
DOI: https://doi.org/10.1090/S0002-9939-1989-0975643-2

Abstract:

For harmonic maps of equidimensional compact Kähler manifolds satisfying certain conditions, a Chern class inequality is stated. If the map satisfies this inequality, it is holomorphic. The main result may be compared with a theorem of Eells and Wood for compact Riemann surfaces.
References
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 107 (1989), 261-269
  • MSC: Primary 58E20
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0975643-2
  • MathSciNet review: 975643