Kahler流形上有关Bakry-Emery曲率的Schur引理（英文）

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英文篇名：A SCHUR'S LEMMA FOR BAKRY-EMERY RICCI CURVATURE ON KHLER MANIFOLDS 作者：黄广月 英文作者：HUANG Guang-yue;Department of Mathematics, Henan Normal University; 关键词：Kahler流形 ; Schur引理 ; K(a|¨)hler-Ricci孤立子 英文关键词：Kahler manifolds;;Schur's lemma;;K(a|¨)hler-Ricci soliton 中文刊名：SXZZ 英文刊名：Journal of Mathematics 机构：河南师范大学数学系; 出版日期：2017-03-09 18:54 出版单位：数学杂志 年：2018 期：v.38;No.177 基金：Supported by NSFC(11371018;11671121);; Henan Provincial Key Teacher(2013GGJS-057);; IRTSTHN(14IRTSTHN023) 语种：英文; 页：SXZZ201802004 页数：3 CN：02 ISSN：42-1163/O1 分类号：27-29

摘要

本文研究了K(a|¨)hler流形上有关Bakry-Emery曲率的Schur引理.即在K(a|¨)hler流形上考虑方程R_(ij)+f_(ij)=λg_(ij),其中f,λ是光滑实值函数.利用Bianchi恒等式,得到了λ是常数.
        This paper is to derive a Schur's lemma for Bakry-Emery Ricci curvature on Kahler manifolds. That is, the equation R_(ij)+f_(ij)=λg_(ij) with two smooth real-valued functions f, λ is studied on K(a|¨)hler manifolds. By the Bianchi identity, we obtain that λ must be a constant.

引文

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