When is the Hawking mass monotone under Geometric Flows
Differential Geometry
2008-05-27 v1 Analysis of PDEs
Abstract
In this paper, we study the relation of the monotonicity of Hawking Mass and geometric flow problems. We show that along the Hamilton-DeTurck flow with bounded curvature coupled with the modified mean curvature flow, the Hawking mass of the hypersphere with a sufficiently large radius in Schwarzschild spaces is monotone non-decreasing.
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Cite
@article{arxiv.0805.3896,
title = {When is the Hawking mass monotone under Geometric Flows},
author = {J. Bland and Li Ma},
journal= {arXiv preprint arXiv:0805.3896},
year = {2008}
}
Comments
7 pages