Twisted Ricci flow on a class of Finsler metrics and its solitons

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• 作者：Bin Shen ^{shenbin@seu.edu.cn" class="auth_mail" title="E-mail the corresponding author shenbin_cgs@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35A07 ; 35K15 ; 35Q51 ; 53B40
• 刊名：Differential Geometry and its Applications
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：46
• 期：Complete
• 页码：132-145
• 全文大小：357 K

文摘

In this paper, we study a geometric flow called twisted Ricci flow on a class of Finsler manifolds. We study some solitons based on the structure of the metric. The equations of the soliton are related to Killing vector fields. This forces a shrinking Ricci soliton of a Riemannian metric to be Einstein in some cases. At last, we prove the short time existence.