Conformally flat pseudo-symmetric spaces of constant type
Giovanni Calvaruso (2006)
Czechoslovak Mathematical Journal
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We give the complete classification of conformally flat pseudo-symmetric spaces of constant type.
Displaying similar documents to “Three-dimensional conformally flat pseudo-symmetric spaces of constant type”
Conformally flat pseudo-symmetric spaces of constant type
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.
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...