Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semisymmetry type


ŞAHİN B.

TURKISH JOURNAL OF MATHEMATICS, cilt.31, ss.139-162, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 31 Konu: 2
  • Basım Tarihi: 2007
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.139-162

Özet

In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-syminetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen conformal lightlike hypersurface of the Minkowski spacetime is semi-symmetric. For higher dimensions, we show that the semi-symmetry condition of a, screen conformal lightlike hypersurface reduces to the semi-symmetry condition of a leaf of its screen distribution. We also obtain that semi-symmetric and Ricci semi-symmetric lightlike hypersurfaces are totally geodesic under certain conditions. Moreover, we show that there exist no non-totally geodesic parallel hypersurfaces in a Lorentzian space.