Non-scale-invariant inverse curvature flows in hyperbolic space
Differential Geometry
2015-05-21 v2 Analysis of PDEs
Abstract
We consider inverse curvature flows in hyperbolic space with starshaped initial hypersurface, driven by positive powers of a homogeneous curvature function. The solutions exist for all time and, after rescaling, converge to a sphere.
Cite
@article{arxiv.1210.2863,
title = {Non-scale-invariant inverse curvature flows in hyperbolic space},
author = {Julian Scheuer},
journal= {arXiv preprint arXiv:1210.2863},
year = {2015}
}
Comments
The rescaling, under which the flow hypersurfaces converge to a constant, had to be modified due to a mistake in the corresponding proof in the first version. Several typing errors were corrected