Conformally flat semi-symmetric spaces
Giovanni Calvaruso (2005)
Archivum Mathematicum
Similarity:
We obtain the complete classification of conformally flat semi-symmetric spaces.
Giovanni Calvaruso (2005)
Archivum Mathematicum
Similarity:
We obtain the complete classification of conformally flat semi-symmetric spaces.
Norio Hashimoto, Masami Sekizawa (2000)
Archivum Mathematicum
Similarity:
An explicit classification of the spaces in the title is given. The resulting spaces are locally products or locally warped products of the real line and two-dimensional spaces of constant curvature.
Giovanni Calvaruso (2010)
Archivum Mathematicum
Similarity:
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.
Uday Chand De, Prajjwal Pal (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
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...