几个关于埃尔米特曲率流的抛物施瓦茨引理  

Several Parabolic Schwarz Lemmas for Hermitian Curvature Flows

作　　者：汤凯 TANG Kai(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua,Zhejiang,321004,P.R.China)

机构地区：[1]浙江师范大学数学与计算机科学学院,金华浙江321004

出　　处：《数学进展》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)。

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].

关 键 词：埃尔米特曲率流 抛物施瓦茨引理 实双截曲率 

分 类 号：O186.12[理学—数学]