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A K-energy characterization
of extremal Kähler metrics

Author: Santiago R. Simanca
Journal: Proc. Amer. Math. Soc. 128 (2000), 1531-1535
MSC (1991): Primary 58E11; Secondary 53C55, 53C25
Published electronically: August 5, 1999
MathSciNet review: 1664359
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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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

Keywords: Extremal K\"ahler metrics, K-energy
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
Article copyright: © Copyright 2000 American Mathematical Society