Evolution of starshaped hypersurfaces by general curvature functions
Differential Geometry
2013-02-11 v3 Analysis of PDEs
Abstract
We consider the evolution of starshaped hypersurfaces in the Euclidean space by general curvature functions. Under appropriate conditions on the curvature function, we prove the global existence and convergence of the flow to a hypersurface of prescribed curvature.
Keywords
Cite
@article{arxiv.1302.0541,
title = {Evolution of starshaped hypersurfaces by general curvature functions},
author = {Ali Fardoun and Rachid Regbaoui},
journal= {arXiv preprint arXiv:1302.0541},
year = {2013}
}