On ovaloids in $E^4$

Alois Švec

Displaying similar documents to “On ovaloids in $E^{4}$ ”

Several new characterizations of the sphere

Alois Švec (1975)

Czechoslovak Mathematical Journal

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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...

Constant mean curvature hypersurfaces with constant $δ$ -invariant.

Chen, Bang-Yen, Garay, Oscar J. (2003)

International Journal of Mathematics and Mathematical Sciences

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Closed hypersurfaces of $S^{4}$ with two constant symmetric curvatures

Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Displaying similar documents to “On ovaloids in E 4 ”

Several new characterizations of the sphere

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

Constant mean curvature hypersurfaces with constant δ -invariant.

Closed hypersurfaces of S 4 with two constant symmetric curvatures

Displaying similar documents to “On ovaloids in $E^{4}$ ”

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

Constant mean curvature hypersurfaces with constant $δ$ -invariant.

Closed hypersurfaces of $S^{4}$ with two constant symmetric curvatures