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On inverse mean curvature flow in Schwarzschild space and Kottler space

Li, Haizhong; Wei, Yong

Description

In this paper, we first study the behavior of inverse mean curvature flow in Schwarzschild manifold. We show that if the initial hypersurface Σ is strictly mean convex and star-shaped, then the flow hypersurface Σt converges to a large coordinate sphere as t→∞ exponentially. We also describe an application of this convergence result. In the second part of this paper, we will analyse the inverse mean curvature flow in Kottler–Schwarzschild manifold. By deriving a lower bound for the mean...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
URI: http://hdl.handle.net/1885/218281
Source: Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s00526-017-1160-6

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