A new characterization of $r$-stable hypersurfaces in space forms

H. F. de Lima; M. A. Velásquez

Displaying similar documents to “A new characterization of $r$ -stable hypersurfaces in space forms”

Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes.

Liu, Ximin, Yang, Biaogui (2008)

Balkan Journal of Geometry and its Applications (BJGA)

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Hypersurfaces with constant scalar or mean curvature in a unit sphere.

Shu, Shichang, Han, Annie Yi (2009)

Balkan Journal of Geometry and its Applications (BJGA)

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Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

Yaning Wang, Ximin Liu (2012)

Archivum Mathematicum

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A new class of $(n + 1)$ -dimensional Lorentz spaces of index $1$ is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.

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.

Displaying similar documents to “A new characterization of r -stable hypersurfaces in space forms”

Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes.

Hypersurfaces with constant scalar or mean curvature in a unit sphere.

Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

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

Displaying similar documents to “A new characterization of $r$ -stable hypersurfaces in space forms”

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