On manifolds satisfying some curvature conditions
Ryszard Deszcz, Wiesław Grycak (1989)
Colloquium Mathematicae
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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
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 corresponding to the 1-form of recurrence is irrotational and the integral curves of the vector field are geodesic. We also study some global properties...
On partially pseudo symmetric -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 () 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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On pseudosymmetric para-Kählerian manifolds.
Łuczyszyn, Dorota (2003)
Beiträge zur Algebra und Geometrie
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On conharmonic curvature tensor in -contact and Sasakian manifolds.
Dwivedi, Mohit Kumar, Kim, Jeong-Sik (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Pseudo-symmetric contact 3-manifolds III
Jong Taek Cho, Jun-ichi Inoguchi, Ji-Eun Lee (2009)
Colloquium Mathematicae
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A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.