Sharp eigenvalue estimates of closed $H$-hypersurfaces in locally symmetric spaces

Eudes L. de Lima; Henrique F. de Lima; Fábio R. dos Santos; Marco A. L. Velásquez

Displaying similar documents to “Sharp eigenvalue estimates of closed $H$ -hypersurfaces in locally symmetric spaces”

Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in $𝕊^{n + 1}$

Bingqing Ma, Guangyue Huang (2013)

Communications in Mathematics

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For compact hypersurfaces with constant mean curvature in the unit sphere, we give a comparison theorem between eigenvalues of the stability operator and that of the Hodge Laplacian on 1-forms. Furthermore, we also establish a comparison theorem between eigenvalues of the stability operator and that of the rough Laplacian.

Hypersurfaces with constant curvature in $ℝ^{n + 1}$

J. A. Gálvez, A. Martínez (2002)

Banach Center Publications

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We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in $ℝ^{n + 1}$ with constant curvature bounding a planar closed (n-1)-submanifold.

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_{1}^{n + 1} (- 1)$

Guoxin Wei, Qiuli Liu, Young Jin Suh (2009)

Czechoslovak Mathematical Journal

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In this paper, we study closed $k$ -maximal spacelike hypersurfaces $M^{n}$ in anti-de Sitter space $H_{1}^{n + 1} (- 1)$ with two distinct principal curvatures and give some integral formulas about these hypersurfaces.

Stability of Hypersurfaces of Constant Mean Curvature in Riemannian Manifolds.

J. Barbosa, M. do Carmo, J. Eschenbug (1988)

Mathematische Zeitschrift

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Hypersurfaces with constant $k$ -th mean curvature in a Lorentzian space form

Shichang Shu (2010)

Archivum Mathematicum

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In this paper, we study $n (n \geq 3)$ -dimensional complete connected and oriented space-like hypersurfaces $M^{n}$ in an (n+1)-dimensional Lorentzian space form $M_{1}^{n + 1} (c)$ with non-zero constant $k$ -th $(k < n)$ mean curvature and two distinct principal curvatures $λ$ and $μ$ . We give some characterizations of Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ and show that the Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ is the only complete connected and oriented space-like hypersurface in $M_{1}^{n + 1} (c)$ with constant $k$ -th mean curvature and two distinct principal curvatures, if the multiplicities...

Displaying similar documents to “Sharp eigenvalue estimates of closed H -hypersurfaces in locally symmetric spaces”

Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in 𝕊 n + 1

Hypersurfaces with constant curvature in ℝ n + 1

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space H 1 n + 1 ( - 1 )

Stability of Hypersurfaces of Constant Mean Curvature in Riemannian Manifolds.

Hypersurfaces with constant k -th mean curvature in a Lorentzian space form

Displaying similar documents to “Sharp eigenvalue estimates of closed $H$ -hypersurfaces in locally symmetric spaces”

Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in $𝕊^{n + 1}$

Hypersurfaces with constant curvature in $ℝ^{n + 1}$

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_{1}^{n + 1} (- 1)$

Hypersurfaces with constant $k$ -th mean curvature in a Lorentzian space form