Pseudo projectively flat manifolds satisfying certain condition on the Ricci tensor.

Das, Bandana; Bhattacharyya, Arindam

Displaying similar documents to “Pseudo projectively flat manifolds satisfying certain condition on the Ricci tensor.”

On manifolds satisfying some curvature conditions

Ryszard Deszcz, Wiesław Grycak (1989)

Colloquium Mathematicae

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On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity

Uday Chand De, Avik De (2012)

Czechoslovak Mathematical Journal

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The object of the present paper is to study almost pseudo-conformally symmetric Ricci-recurrent manifolds. The existence of almost pseudo-conformally symmetric Ricci-recurrent manifolds has been proved by an explicit example. Some geometric properties have been studied. Among others we prove that in such a manifold the vector field $ρ$ corresponding to the 1-form of recurrence is irrotational and the integral curves of the vector field $ρ$ are geodesic. We also study some global properties...

On partially pseudo symmetric $K$ -contact Riemannian manifolds.

Binh, T.Q., De, U.C., Tamássy, L. (2002)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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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...

Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity

Giovanni Calvaruso (2010)

Archivum Mathematicum

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We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.

Notes on extended recurrent and extended quasi-recurrent manifolds.

Ewert-Krzemieniewski, Stanisław (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Displaying similar documents to “Pseudo projectively flat manifolds satisfying certain condition on the Ricci tensor.”

On manifolds satisfying some curvature conditions

On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity

On partially pseudo symmetric K -contact Riemannian manifolds.

On Almost Pseudo-Z-symmetric Manifolds

Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity

Notes on extended recurrent and extended quasi-recurrent manifolds.

On partially pseudo symmetric $K$ -contact Riemannian manifolds.