When is the Hawking mass monotone under Geometric Flows

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Bland, J.
Ma, Li
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Abstract
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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.
Comment: 7 pages
Keywords
Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 53C, 58J
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