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 $t\rightarrow+\infty$.
Zhengchao JI
. A CLASS OF INVERSE QUOTIENT CURVATURE FLOW IN THE ADS-SCHWARZSCHILD MANIFOLD*[J]. Acta mathematica scientia, Series B, 2023
, 43(6)
: 2553
-2572
.
DOI: 10.1007/s10473-023-0614-5
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