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
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.