Mean curvature flow and Riemannian submersions
Differential Geometry
2015-03-31 v1
Abstract
We give a sufficient condition ensuring that the mean curvature flow commutes with a Riemannian submersion and we use this result to create new examples of evolution by mean curvature flow. In particular we consider evolution of pinched submanifolds of the sphere, of the complex projective space, of the Heisenberg group and the tangent sphere bundle equipped with the Sasaki metric.
Keywords
Cite
@article{arxiv.1503.08332,
title = {Mean curvature flow and Riemannian submersions},
author = {Giuseppe Pipoli},
journal= {arXiv preprint arXiv:1503.08332},
year = {2015}
}
Comments
17 pages