Entropy and a convergence theorem for Gauss curvature flow in high dimension
Differential Geometry
2013-06-05 v1
Abstract
In this paper we prove uniform regularity estimates for the normalized Gauss curvature flow in higher dimensions. The convergence of solutions in -topology to a smooth strictly convex soliton as approaches to infinity is obtained as a consequence of these estimates together with an earlier result of Andrews. The estimates are established via the study of a new entropy functional for the flow.
Cite
@article{arxiv.1306.0625,
title = {Entropy and a convergence theorem for Gauss curvature flow in high dimension},
author = {Pengfei Guan and Lei Ni},
journal= {arXiv preprint arXiv:1306.0625},
year = {2013}
}