The evolution of complete non-compact graphs by powers of Gauss curvature
Differential Geometry
2021-03-24 v1
Abstract
We study the evolution of convex complete non-compact graphs by positive powers of Gauss curvature. We show that if the initial complete graph has a local uniform convexity, then the graph evolves by any positive power of Gauss curvature for all time. In particular, the initial graph is not necessarily differentiable.
Keywords
Cite
@article{arxiv.1603.04286,
title = {The evolution of complete non-compact graphs by powers of Gauss curvature},
author = {Kyeongsu Choi and Panagiota Daskalopoulos and Lami Kim and Ki-ahm Lee},
journal= {arXiv preprint arXiv:1603.04286},
year = {2021}
}