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Extremal Kähler metrics and Hamiltonian functions II

Published online by Cambridge University Press:  25 July 2002

Christina W. Tønnesen-Friedman
Christina W. Tønnesen-Friedman
Affiliation:
Department of Mathematics, Union College, Schenectady, NY 12308, USA e-mail: tonnesec@union.edu
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Abstract

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We apply a previously obtained ansatz for extremal Kähler metrics to show that if a manifold admits a Hodge metric with constant scalar curvature, then the total space of the projectivization of a line bundle with first Chern class equal to the Kähler class of the metric admits a one-parameter family of extremal Kähler metrics. This generalizes earlier constructions.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 2 , May 2002 , pp. 241 - 253
Copyright
2002 Glasgow Mathematical Journal Trust