Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection

Yasar, Erol; Coken, ABDİLKADİR; YÜCESAN, Ahmet

doi:10.7146/math.scand.a-15061

Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection

Yasar E., Coken A. C., YÜCESAN A.

MATHEMATICA SCANDINAVICA, cilt.102, sa.2, ss.253-264, 2008 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 102 Sayı: 2
Basım Tarihi: 2008
Doi Numarası: 10.7146/math.scand.a-15061
Dergi Adı: MATHEMATICA SCANDINAVICA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.253-264
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, We Study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semisymmetric non-metric connection. We give the equations of Gauss and Codazzi. Then, we obtain conditions under which the Ricci tensor of a lightlike hypersurface is symmetric given that the ambient space is equipped with a semi-symmetric non-metric connection.