Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semisymmetry type
Yükleniyor...
Dosyalar
Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkish Journal of Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Abstract: In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-symmetric, 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 s pace.
Açıklama
Yıl: 2007Cilt: 31Sayı: 2ISSN: 1300-0098 / 1303-6149Sayfa Aralığı: 139 - 162Metin Dili:İngilizce
Anahtar Kelimeler
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
31
Sayı
2
Künye
ŞAHİN B (2007). Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semisymmetry type. Turkish Journal of Mathematics, 31(2), 139 - 162.
