On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
Filip Defever, Ryszard Deszcz (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Displaying similar documents to “Contact manifolds, harmonic curvature tensor and -nullity distribution”
On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
Hiroshi Endo (1991)
Colloquium Mathematicae
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For Sasakian manifolds, Matsumoto and Chūman [6] defined the contact Bochner curvature tensor (see also Yano [9]). Hasegawa and Nakane [4] and Ikawa and Kon [5] have studied Sasakian manifolds with vanishing contact Bochner curvature tensor. Such manifolds were studied in the theory of submanifolds by Yano ([9] and [10]). In this paper we define an extended contact Bochner curvature tensor in K-contact Riemannian manifolds and call it the E-contact Bochner curvature tensor. Then we show...
On some generalized Einstein metric conditions.
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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On a type of P-Sasakian manifold.
Debasish Tarafdar, U. C. De (1993)
Extracta Mathematicae
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On the AC-contact Bochner curvature tensor field on almost cosymplectic manifolds.
Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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On some generalisation of recurrent manifolds.
Ewert-Krzemieniewski, Stanisław (1993)
Mathematica Pannonica
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On Bochner flat para-Kählerian manifolds
Dorota Łuczyszyn (2005)
Open Mathematics
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Let B be the Bochner curvature tensor of a para-Kählerian manifold. It is proved that if the manifold is Bochner parallel (∇ B = 0), then it is Bochner flat (B = 0) or locally symmetric (∇ R = 0). Moreover, we define the notion of tha paraholomorphic pseudosymmetry of a para-Kählerian manifold. We find necessary and sufficient conditions for a Bochner flat para-Kählerian manifold to be paraholomorphically pseudosymmetric. Especially, in the case when the Ricci operator is diagonalizable,...
Curvature properties of φ-null Osserman Lorentzian S-manifolds
Letizia Brunetti, Angelo Caldarella (2014)
Open Mathematics
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We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds...