摘要
在[J.Eur.Math.Soc.,2011,13(3):601-634]中,Streets和田刚在埃尔米特流形上引进了一族埃尔米特曲率流.本文证明几个关于特殊埃尔米特曲率流的抛物施瓦茨引理.这些结果推广了宋剑和田刚在[Invent.Math.,2007,170(3):609-653]中证明的关于凯勒—里奇流的抛物施瓦茨引理.
In this paper,by considering a particular choice of Hermitian curvature flow introduced by Streets and Tian in [J.Eur.Math.Soc.,2011,13(3):601-634],we prove several parabolic Schwarz lemmas on Hermitian manifolds.These results generalize the parabolic Schwarz lemma for K(a|")hler-Ricci flow which was proved by Song and Tian in [Invent.Math.,2007,170(3):609-653].
作者
汤凯
TANG Kai(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua,Zhejiang,321004,P.R.China)
出处
《数学进展》
CSCD
北大核心
2020年第5期626-634,共9页
Advances in Mathematics（China）
基金
Supported by Natural Science Foundation of Zhejiang Province (No.LQ20A010005)。
关键词
埃尔米特曲率流
抛物施瓦茨引理
实双截曲率
Hermitian curvature flow
parabolic Schwarz lemma
real bisectional curvature
