Compact cosymplectic manifolds of positive constant phi-sectional curvature.
Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
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Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
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Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Oguro, Takashi (1998)
International Journal of Mathematics and Mathematical Sciences
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Filip Defever, Ryszard Deszcz (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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,...
Mileva Prvanović (1998)
Matematički Vesnik
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Mileva Prvanović (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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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...
Letizia Brunetti, Anna Maria Pastore (2013)
Publications de l'Institut Mathématique
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H. G. Nagaraja (2011)
Matematički Vesnik
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