From the Ricci flow evolution equation to vanishing theorems for Ricci solitons
Differential Geometry
2020-09-17 v2
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.
Keywords
Cite
@article{arxiv.2005.11392,
title = {From the Ricci flow evolution equation to vanishing theorems for Ricci solitons},
author = {Vladimir Rovenski and Sergey Stepanov and Irina Tsyganok},
journal= {arXiv preprint arXiv:2005.11392},
year = {2020}
}
Comments
10 pages