Constant mean curvature hypersurfaces with constant -invariant.
Chen, Bang-Yen, Garay, Oscar J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Chen, Bang-Yen, Garay, Oscar J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Sebastião de Almeida, Fabiano Brito (1987-1988)
Séminaire de théorie spectrale et géométrie
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Małgorzata Głogowska (2005)
Banach Center Publications
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We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.
Sebastião Carneiro de Almeida, Fabiano Gustavo Braga Brito (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Johan Deprez, Piet A. Verheyen, Leopold C. A. Verstraelen (1985)
Czechoslovak Mathematical Journal
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Hideya Hashimoto (1990)
Czechoslovak Mathematical Journal
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Antonio Ros Mulero (1987)
Revista Matemática Iberoamericana
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A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the only compact hypersurface (embedded or immersed) with constant higher order mean curvature H, for some r = 1, ..., n.