Self-duality and pointwise Osserman manifolds

Dimitri V. Alekseevsky; Novica Blažić; Neda Bokan; Zoran Rakić

Displaying similar documents to “Self-duality and pointwise Osserman manifolds”

Duality Principle and Special Osserman Manifolds

Vladica Andrejić (2013)

Publications de l'Institut Mathématique

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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...

A Note on Rakić Duality Principle for Osserman Manifolds

Yuri Nikolayevsky, Zoran Rakić (2013)

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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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Einstein manifolds of positive scalar curvature with arbitrary second Betti number.

Boyer, Charles P., Galicki, Krzysztof, Mann, Benjamin M., Rees, Elmer G. (1996)

Balkan Journal of Geometry and its Applications (BJGA)

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On Almost Pseudo-Z-symmetric Manifolds

Uday Chand De, Prajjwal Pal (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat $A {(P Z S)}_{n}$ ( $n > 3$ ) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained...