On some class of hypersurfaces of semi-Euclidean spaces
Copyright policy )On some class of hypersurfaces of semi-Euclidean spaces
The paper is devoted to the investigation of semisymmetric and Ricci-semisymmetric hypersurfaces of semi-Euclidean spaces. A (semi-)Riemannian manifold is semisymmetric if \(R\cdot R=0\), it is Ricci-semisymmetric if \(R\cdot S=0\) where the tensor fields \(R\) and \(S\) denote the curvature and the Ricci curvature tensor. Sufficient conditions for hypersurfaces of semi-Riemannian manifolds are given which guarantee their semisymmetric or Ricci semisymmetric property. The results are generalizations of previous theorems of some of the authors and their collaborators.
- Uludağ University Turkey
Local Riemannian geometry, Local submanifolds, Applications of local differential geometry to the sciences, pseudosymmetry type manifold, Ricci-semisymmetric manifold, semisymmetric manifold, hypersurface
Local Riemannian geometry, Local submanifolds, Applications of local differential geometry to the sciences, pseudosymmetry type manifold, Ricci-semisymmetric manifold, semisymmetric manifold, hypersurface
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