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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 $\text \{K\}$-energy characterization of extremal Kähler metrics
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by Santiago R. Simanca PDF
Proc. Amer. Math. Soc. 128 (2000), 1531-1535 Request permission

Abstract:

We show that for any polarized compact Kähler manifold, the extremal Kähler metrics that represent the given cohomology class can be characterized as critical points of a suitably defined K-energy functional.
References
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Additional Information
  • Santiago R. Simanca
  • Affiliation: Department of Applied Mathematics, State University of New York at Stony Brook, Stony Brook, New York 11794-3600
  • Email: santiago@ams.sunysb.edu
  • Received by editor(s): June 22, 1998
  • Published electronically: August 5, 1999
  • Additional Notes: The author was partially supported by the Gabriella and Paul Rosenbaum Foundation.
  • Communicated by: Leslie Saper
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1531-1535
  • MSC (1991): Primary 58E11; Secondary 53C55, 53C25
  • DOI: https://doi.org/10.1090/S0002-9939-99-05364-2
  • MathSciNet review: 1664359