Real hypersurfaces of indefinite Kähler manifolds.
Bejancu, A., Duggal, K.L. (1993)
International Journal of Mathematics and Mathematical Sciences
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Bejancu, A., Duggal, K.L. (1993)
International Journal of Mathematics and Mathematical Sciences
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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.
Samuel I. Goldberg (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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Mangione, Vittorio (2003)
International Journal of Mathematics and Mathematical Sciences
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Abhitosh Upadhyay, Ram Shankar Gupta (2011)
Publications de l'Institut Mathématique
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Debasish Tarafdar, U. C. De (1993)
Extracta Mathematicae
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Defever, Filip (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Fumio Narita (1996)
Colloquium Mathematicae
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We consider a Riemannian submersion π: M → N, where M is a CR-submanifold of a locally conformal Kaehler manifold L with the Lee form ω which is strongly non-Kaehler and N is an almost Hermitian manifold. First, we study some geometric structures of N and the relation between the holomorphic sectional curvatures of L and N. Next, we consider the leaves M of the foliation given by ω = 0 and give a necessary and sufficient condition for M to be a Sasakian manifold.
Ianus, S., Matsumoto, K., Ornea, L. (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Katarzyna Sawicz (2005)
Banach Center Publications
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We investigate hypersurfaces M in spaces of constant curvature with some special minimal polynomial of the second fundamental tensor H of third degree. We present a curvature characterization of pseudosymmetry type for such hypersurfaces. We also prove that if such a hypersurface is a manifold with pseudosymmetric Weyl tensor then it must be pseudosymmetric.