General curvature flow without singularities
Differential Geometry
2016-04-21 v1 Analysis of PDEs
Abstract
In [5], S\'aez and Schn\"urer studied the graphical mean curvature flow of complete hypersurfaces defined on subsets of Euclidean space. They obtained long time existence. Moreover, they provided a new interpretation of weak mean curvature flow. In this paper, we generalize their results to a general curvature setting. Our key ingredient is the existence result of general curvature flow with boundary conditions, which is proved in Section 4.
Cite
@article{arxiv.1604.05743,
title = {General curvature flow without singularities},
author = {Ling Xiao},
journal= {arXiv preprint arXiv:1604.05743},
year = {2016}
}