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

DOI:
https://doi.org/10.1090/S0002-9939-99-05364-2

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.

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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

DOI:
https://doi.org/10.1090/S0002-9939-99-05364-2

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