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arXiv · 2005.11392

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

Vladimir Rovenski·Sergey Stepanov·Irina Tsyganok
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Abstract

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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Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok. 2020-05-22. From the Ricci flow evolution equation to vanishing theorems for Ricci solitons. https://arxiv.org/abs/2005.11392

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