A rigidity theorem for codimension one shrinking gradient Ricci solitons in $\mathbb R^{n+1}$
Differential Geometry
2014-10-23 v1 Analysis of PDEs
Abstract
We prove a splitting theorem for complete gradient Ricci soliton with nonnegative curvature and establish a rigidity theorem for codimension one complete shrinking gradient Ricci soliton in with nonnegative Ricci curvature.
Keywords
Cite
@article{arxiv.1410.5856,
title = {A rigidity theorem for codimension one shrinking gradient Ricci solitons in $\mathbb R^{n+1}$},
author = {Pengfei Guan and Peng Lu and Yiyan Xu},
journal= {arXiv preprint arXiv:1410.5856},
year = {2014}
}
Comments
17 pages