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arxiv: 1609.09733 · v2 · submitted 2016-09-30 · 🧮 math.DG · math.AP

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Inverse curvature flow in anti-de Sitter-Schwarzschild manifold

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classification 🧮 math.DG math.AP
keywords anti-decurvatureflowinversemanifoldsitter-schwarzschildconsiderconverges
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In this paper, we consider the inverse hessian quotient curvature flow with star-shaped initial hypersurface in anti-de Sitter-Schwarzschild manifold. We prove that the solution exists for all time, and the second fundamental form converges to identity exponentially fast.

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