Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter Symmetric Non-Metric Connection


Bahadir O., KILIÇ E.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.9, ss.9-22, 2016 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 9 Konu: 1
  • Basım Tarihi: 2016
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Sayfa Sayıları: ss.9-22

Özet

We study lightlike submanifolds of a semi-Riemannian product manifold. We introduce a class of lightlike submanifolds called screen semi-invariant lightlike submanifold. We consider lightlike submanifolds with respect to a quarter symmetric non-metric connection which is determined by the product structure. We give some equivalent conditions for integrability of distributions with respect to the Levi-Civita connection of semi-Riemannian manifolds and the quarter-symmetric nonmetric connection, and we obtain some results.