Stability and existence of critical Kaehler metrics on ruled manifolds

Ying-Ji Hong

doi:10.2969/jmsj/06010265

Stability and existence of critical Kaehler metrics on ruled manifolds

Ying-Ji Hong

Department of Mathematics

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

In this article we discuss how the existence of Kaehler metrics with constant scalar curvature on the projectivization of a holomorphic vector bundle over a Kaehler manifold M is related to a moment map condition for the action of the automorphism group of M on the moduli of vector bundles.

Original language	English
Pages (from-to)	265-290
Number of pages	26
Journal	Journal of the Mathematical Society of Japan
Volume	60
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/06010265
Publication status	Published - 2008 Jan 1

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All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

Hong, Y-J. (2008). Stability and existence of critical Kaehler metrics on ruled manifolds. Journal of the Mathematical Society of Japan, 60(1), 265-290. https://doi.org/10.2969/jmsj/06010265

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10.2969/jmsj/06010265