NON-DEGENERATE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

YÜCESAN A. , YAŞAR E.

MATHEMATICAL REPORTS, cilt.14, ss.209-219, 2012 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 14 Konu: 2
  • Basım Tarihi: 2012
  • Dergi Adı: MATHEMATICAL REPORTS
  • Sayfa Sayıları: ss.209-219

Özet

We consider a non-degenerate hypersurface of a semi-Riemannian manifold with a semi-symmetric non-metric connection. We obtain a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its non-degenerate hypersurface with respect to a semi-symmetric non-metric connection. We also show that the Ricci tensor of a non-degenerate hypersurface of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric, but not parallel. Finally, we get the conditions under which a non-degenerate hypersurface with a semi-symmetric non-metric connection is projectively flat.