Scalar V-soliton equation and Kahler-Ricci flow on symplectic quotients

doi:10.1016/j.aim.2020.107229

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	Scalar V-soliton equation and Kahler-Ricci flow on symplectic quotients
	Li, Chang
	2020-09-16
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	371 页码:23
摘要	In this paper, we consider the V-soliton equation which is a degenerate fully nonlinear equation introduced by La Nave and Tian in their work on Kahler-Ricci flow on symplectic quotients. One can apply the interpretation to study finite time singularities of the Kahler-Ricci flow. As in the case of Kahler-Einstein metrics, we can also reduce the V-soliton equation to a scalar equation on Kahler potentials, which is of Monge-Ampere type. We formulate some preliminary estimates for such a scalar equation on a compact Kahler manifold M. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Kahler-Ricci flow V-soliton equation Kahler manifold A priori estimates
DOI	10.1016/j.aim.2020.107229
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000549165500003
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51805
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Chang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Chang. Scalar V-soliton equation and Kahler-Ricci flow on symplectic quotients[J]. ADVANCES IN MATHEMATICS,2020,371:23.
APA	Li, Chang.(2020).Scalar V-soliton equation and Kahler-Ricci flow on symplectic quotients.ADVANCES IN MATHEMATICS,371,23.
MLA	Li, Chang."Scalar V-soliton equation and Kahler-Ricci flow on symplectic quotients".ADVANCES IN MATHEMATICS 371(2020):23.