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| 摘要: |
| 本文研究了Kähler流形上有关Bakry-Emery曲率的Schur引理.即在Kähler流形上考虑方程Rij+ fij=λgij，其中f，λ是光滑实值函数.利用Bianchi恒等式，得到了λ是常数. |
| 关键词: Kahler流形 Schur引理 Kähler-Ricci孤立子 |
| DOI： |
| 分类号:O186.12 |
| 基金项目:Supported by NSFC (11371018; 11671121); Henan Provincial Key Teacher (2013GGJS-057); IRTSTHN (14IRTSTHN023). |
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| A SCHUR'S LEMMA FOR BAKRY-EMERY RICCI CURVATURE ON KÄHLER MANIFOLDS |
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HUANG Guang-yue
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| Abstract: |
| This paper is to derive a Schur's lemma for Bakry-Emery Ricci curvature on Kähler manifolds. That is, the equation Rij+ fij=λgij with two smooth real-valued functions f, λ is studied on Kähler manifolds. By the Bianchi identity, we obtain that λ must be a constant. |
| Key words: Kähler manifolds Schur's lemma Kähler-Ricci soliton |
