Ricci-mean curvature flows in gradient shrinking Ricci solitons
Differential Geometry
2015-01-27 v1
Abstract
Huisken studied asymptotic behavior of a mean curvature flow in a Euclidean space when it develops a singularity of type I, and proved that its rescaled flow converges to a self-shrinker in the Euclidean space. In this paper, we generalize this result for a Ricci-mean curvature flow moving along a Ricci flow constructed from a gradient shrinking Ricci soliton.
Keywords
Cite
@article{arxiv.1501.06256,
title = {Ricci-mean curvature flows in gradient shrinking Ricci solitons},
author = {Hikaru Yamamoto},
journal= {arXiv preprint arXiv:1501.06256},
year = {2015}
}
Comments
43 pages