论文标题

$* - $ ricci流的一些结果

Some Results on $*-$Ricci Flow

论文作者

Basu, Nirabhra, Debnath, Dipankar

论文摘要

在本文中,我们介绍了$* - $ ricci流的概念,并表明$* - $ ricci Soliton是由Kakimakamis和Panagiotid在2014年引入的,是$* - $ ricci流的自我类似的Soliton。我们还发现在$* - $ ricci流下的几何曲率张量的变形。在本文的最后两个部分中,我们发现$ \ im $ $ $ $ $ $ω-$分别用于$* - $ ricci流。

In this paper we have introduced the notion of $*-$ Ricci flow and shown that $*-$ Ricci soliton which was introduced by Kakimakamis and Panagiotid in 2014, is a self similar soliton of the $*-$ Ricci flow. We have also find the deformation of geometric curvature tensors under $*-$ Ricci flow. In the last two section of the paper, we have found the $\Im$-functional and $ω-$ functional for $*-$ Ricci flow respectively.

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