Several new characterizations of the sphere
Alois Švec (1975)
Czechoslovak Mathematical Journal
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Alois Švec (1975)
Czechoslovak Mathematical Journal
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Shichang Shu (2010)
Archivum Mathematicum
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In this paper, we study -dimensional complete connected and oriented space-like hypersurfaces in an (n+1)-dimensional Lorentzian space form with non-zero constant -th mean curvature and two distinct principal curvatures and . We give some characterizations of Riemannian product and show that the Riemannian product is the only complete connected and oriented space-like hypersurface in with constant -th mean curvature and two distinct principal curvatures, if the multiplicities...
Chen, Bang-Yen, Garay, Oscar J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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