论文标题

从RICCI流动进化方程到消失的Ricci solitons定理

From the Ricci flow evolution equation to vanishing theorems for Ricci solitons

论文作者

Rovenski, Vladimir, Stepanov, Sergey, Tsyganok, Irina

论文摘要

在本文中,我们研究了汉密尔顿的RICCI流动下的标量和RICCI曲率的演化方程,并在完全的非伴动歧管上。特别是,我们研究了Ricci流量很小并且Ricci Soliton是Ricci Flat或Einstein的条件。

In the paper, we study evolution equations of the scalar and Ricci curvatures under the Hamilton's Ricci flow on a closed manifold and on a complete noncompact manifold. In particular, we study conditions when the Ricci flow is trivial and the Ricci soliton is Ricci flat or Einstein.

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