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- W2949964080 abstract "In this paper, we study complete hypersurfaces with constant mean curvature in anti-de Sitter space $H^{n+1}_1(-1)$. we prove that if a complete space-like hypersurface with constant mean curvature $x:mathbf Mrightarrow H^{n+1}_1(-1) $ has two distinct principal curvatures $lambda,mu$, and inf$|lambda-mu|>0$, then $x$ is the standard embedding $ H^{m} (-frac{1}{r^2})times H^{n-m} (-frac{1}{1 - r^2})$in anti-de Sitter space $ H^{n+1}_1 (-1)$." @default.
- W2949964080 created "2019-06-27" @default.
- W2949964080 creator A5074664755 @default.
- W2949964080 date "2011-08-15" @default.
- W2949964080 modified "2023-09-26" @default.
- W2949964080 title "An Application of Maximum Principle to space-like Hypersurfaces with Constant Mean Curvature in Anti-de Sitter Space" @default.
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- W2949964080 doi "https://doi.org/10.48550/arxiv.1108.3133" @default.
- W2949964080 hasPublicationYear "2011" @default.
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