A class of inverse quotient curvature flow in the AdS-Schwarzschild manifold. (English) Zbl 1538.53112
Summary: 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 \(t\rightarrow+\infty\).
MSC:
| 53E10 | Flows related to mean curvature |
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