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Kähler–Ricci solitons and generalized Tian–Zhu's invariant

Meikui Xiong

School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

https://doi.org/10.1142/S0129167X14500682Cited by:5 (Source: Crossref)

Abstract

In this paper, we introduce the notion of modified K-stability (K-semistability) associated with the soliton field on a Fano manifold M. Then we prove that if the modified K-energy associated with the soliton vector field is bounded from below, M is modified K-semistable associated with the soliton field. This result generalizes the corresponding result in a paper of Ding and Tian.

Keywords:

AMSC: 53C55, 53C25

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