Conditions on the Conharmonic Curvature Tensor of Kaehler Hypersurfaces in Complex Space Forms
Mirjana Đorić, Miroslava Petrović-Torgašev, L. Verstraelen (1988)
Publications de l'Institut Mathématique
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Mirjana Đorić, Miroslava Petrović-Torgašev, L. Verstraelen (1988)
Publications de l'Institut Mathématique
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Katarzyna Sawicz (2004)
Colloquium Mathematicae
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We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.
Katarzyna Sawicz (2006)
Publications de l'Institut Mathématique
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Johan Deprez, Piet A. Verheyen, Leopold C. A. Verstraelen (1985)
Czechoslovak Mathematical Journal
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de Dios Perez, Juan (1996)
International Journal of Mathematics and Mathematical Sciences
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de Dios Pérez, Juan, Santos, Florentino G. (1991)
International Journal of Mathematics and Mathematical Sciences
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Bang-Yen Chen (2002)
Archivum Mathematicum
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First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.
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.
J. Deprez, F. Dillen, P. Verheyen, L. Verstraelen (1985)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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