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.