A Curvature Flow and Applications to an Isoperimetric Inequality
Differential Geometry
2016-10-20 v1
Abstract
Long time existence and convergence to a circle is proved for radial graph solutions to a mean curvature type curve flow in warped product surfaces (under a weak assumption on the warp potential of the surface). This curvature flow preserves the area enclosed by the evolving curve, and this fact is used to prove a general isoperimetric inequality applicable to radial graphs in warped product surfaces under weak assumptions on the warp potential.
Keywords
Cite
@article{arxiv.1610.05844,
title = {A Curvature Flow and Applications to an Isoperimetric Inequality},
author = {Dylan Cant},
journal= {arXiv preprint arXiv:1610.05844},
year = {2016}
}