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5. A class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold In Memory

A class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold In Memory

来源 :中国科学：数学（英文版） | 被引量 : 0次 | 上传用户：bell900818

【摘 要】

：

In this paper,we study the star-shaped hypersurfaces evolved by a class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold.We give C0,C1,C2 estimates of the flow.Using these facts,we prove that the solution exists for all ti

【作 者】

：

Haizhong Li Botong Xu 

【机 构】

：

Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China

【出 处】

：

中国科学：数学（英文版）

【发表日期】

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2021年7期

【关键词】

：

inverse curvature flow long time existence and convergence anti-de Sitter-Schwar 

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In this paper,we study the star-shaped hypersurfaces evolved by a class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold.We give C0,C1,C2 estimates of the flow.Using these facts,we prove that the solution exists for all time and the principal curvatures converge to 1 polynomially fast.

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