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→+∞.
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)
基金
supported by the Postdoctoral Fund of Zhejiang Province,China (ZJ2022004).
