English

A note on inverse curvature flows in ARW spacetimes

Differential Geometry 2014-06-06 v3 Analysis of PDEs

Abstract

We prove that the leaves of the rescaled curvature flow considered in arXiv:math/0403485 [math.DG] converge to the graph of a constant function.

Keywords

Cite

@article{arxiv.1106.4236,
  title  = {A note on inverse curvature flows in ARW spacetimes},
  author = {Claus Gerhardt},
  journal= {arXiv preprint arXiv:1106.4236},
  year   = {2014}
}

Comments

This paper has been withdrawn because the equation (2.10) is not correct when considering an embedding x=x(t,\xi) where x^i is different from \xi^i. The paper has been withdrawn because the proof of Theorem 1.4 is false