Open Access
April, 2014 Relative stability and extremal metrics
Toshiki MABUCHI
J. Math. Soc. Japan 66(2): 535-563 (April, 2014). DOI: 10.2969/jmsj/06620535

Abstract

In this paper, by clarifying the concept of relative K-stability in [28], we shall solve the stability part of an extremal Kähler version of Donaldson-Tian-Yau's Conjecture. This extends the results in [15] and [27]. We then propose a program to solve the existence part of the conjecture.

Citation

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Toshiki MABUCHI. "Relative stability and extremal metrics." J. Math. Soc. Japan 66 (2) 535 - 563, April, 2014. https://doi.org/10.2969/jmsj/06620535

Information

Published: April, 2014
First available in Project Euclid: 23 April 2014

zbMATH: 1301.53072
MathSciNet: MR3201825
Digital Object Identifier: 10.2969/jmsj/06620535

Subjects:
Primary: 53C25
Secondary: 32Q15 , 32Q26

Keywords: Donaldson-Tian-Yau's Conjecture , extremal Kähler metrics , K-stability , Relative stability , test configurations

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 2 • April, 2014
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