When is the Hawking mass monotone under Geometric Flows

Details When is the Hawking mass monotone under Geometric Flows When is the Hawking mass monotone under Geometric Flows

2008-05-26

arxiv.org/abs/0805.3896v1

Mathematics

Differential Geometry

7 pages

Scientific paper

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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