A CLASS OF INVERSE QUOTIENT CURVATURE FLOW IN THE ADS-SCHWARZSCHILD MANIFOLD  

作　　者：纪正超 Zhengchao JI(Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027,China;Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027,China [2]Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China

出　　处：《Acta Mathematica Scientia》2023年第6期2553-2572,共20页数学物理学报（B辑英文版）

基　　金：supported by the Postdoctoral Fund of Zhejiang Province,China (ZJ2022004).

摘　　要：In this paper,we study the asymptotic behavior of a class of inverse quotient curvature flow in the anti-de Sitter-Schwarzschild manifold.We prove that under suitable convex conditions for the initial hypersurface,one can get the long-time existence for the inverse curvature flow.Moreover,we also get that the principal curvatures of the evolving hypersurface converge to 1 when t→+∞.

关 键 词：STAR-SHAPED quotient curvature support function 

分 类 号：O186.11[理学—数学]