Non-parametric inverse curvature flows in the AdS-Schwarzschild manifold
Differential Geometry
2018-10-23 v3
Abstract
We consider the inverse curvature flows in the anti-de Sitter-Schwarzschild manifold with star-shaped initial hypersurface, driven by the 1-homogeneous curvature function. We show that the solutions exist for all time and the principle curvatures of the hypersurface converges to 1 exponentially fast.
Keywords
Cite
@article{arxiv.1610.00836,
title = {Non-parametric inverse curvature flows in the AdS-Schwarzschild manifold},
author = {Li Chen and Jing Mao},
journal= {arXiv preprint arXiv:1610.00836},
year = {2018}
}
Comments
22 pages. Some revisions have been made to v2