English

Inverse mean curvature flows in the hyperbolic 3-space revisited

Differential Geometry 2014-09-09 v2

Abstract

This note revisits the inverse mean curvature flow in the 3-dimensional hyperbolic space. In particular, we show that the limiting shape is not necessarily round after scaling, thus resolving an inconsistency in the literature.

Keywords

Cite

@article{arxiv.1406.1768,
  title  = {Inverse mean curvature flows in the hyperbolic 3-space revisited},
  author = {Pei-Ken Hung and Mu-Tao Wang},
  journal= {arXiv preprint arXiv:1406.1768},
  year   = {2014}
}

Comments

The higher dimensional case is added. To appear in Calculus of Variations and PDE's