Ricci-semisymmetric hypersurfaces.
Defever, Filip (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “On some class of hypersurfaces with three distinct principal curvatures”
Ricci-semisymmetric hypersurfaces.
Characterizations of conformally flat hypersurfaces
Johan Deprez, Piet A. Verheyen, Leopold C. A. Verstraelen (1985)
Czechoslovak Mathematical Journal
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Curvature conditions on hypersurfaces with two distinct principal curvatures
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.
On the Ricci tensor of real hypersurfaces of quaternionic projective space.
de Dios Perez, Juan (1996)
International Journal of Mathematics and Mathematical Sciences
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On Curvature Characterizations of Some Hypersurfaces in Spaces of Constant Curvature
Katarzyna Sawicz (2006)
Publications de l'Institut Mathématique
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On 2-quasi-umbilical pseudosymmetric hypersurfaces in the Euclidean space.
Özgür, Cihan (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Leopold Verstraelen (2003)
Colloquium Mathematicae
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Solutions of the P. J. Ryan problem as well as investigations of curvature properties of Cartan hypersurfaces and Ricci-pseudosymmetric hypersurfaces lead to curvature identities holding on every hypersurface M isometrically immersed in a semi-Riemannian space form. These identities, under some assumptions, give rises to new generalized Einstein metric conditions on M. We investigate hypersurfaces satisfying such curvature conditions.
Real hypersurfaces in complex space forms concerned with the local symmetry
Seon Mi Lyu, Juan de Dios Pérez, Young Jin Suh (2007)
Czechoslovak Mathematical Journal
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This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface in complex space form . In the second, we give a complete classification of real hypersurfaces in which satisfy the above geometric facts.
Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations
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.
On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
Ryszard Deszcz, Mike Scherfner (2007)
Colloquium Mathematicae
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We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.
On certain real hypersurfaces of quaternionic projective space.
de Dios Pérez, Juan, Santos, Florentino G. (1991)
International Journal of Mathematics and Mathematical Sciences
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Quasi-Einstein hypersurfaces in semi-Riemannian space forms
Ryszard Deszcz, Marian Hotloś, Zerrin Sentürk (2001)
Colloquium Mathematicae
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We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.