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A class of inverse quotient curvature flow in the AdS-Schwarzschild manifold

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Abstract

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 → +∞.

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Authors and Affiliations

  1. Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, 310027, China

    Zhengchao Ji

  2. Center of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, China

    Zhengchao Ji

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  1. Zhengchao Ji
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Correspondence to Zhengchao Ji.

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The author declares no conflict of interest.

Additional information

The work was supported by the Postdoctoral Fund of Zhejiang Province, China (ZJ2022004).

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Ji, Z. A class of inverse quotient curvature flow in the AdS-Schwarzschild manifold. Acta Math Sci 43, 2553–2572 (2023). https://doi.org/10.1007/s10473-023-0614-5

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  • DOI: https://doi.org/10.1007/s10473-023-0614-5

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