Some inequalities on screen homothetic lightlike hypersurfaces of a Lorentzian manifold
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we establish some inequalities involving k-Ricci curvature, k-scalar curvature, the screen scalar curvature on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We compute Chen-Ricci inequality and Chen inequality on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We give an optimal inequality involving the ?(n1,..., nk)-invariant and some characterizations (totally umbilicity, totally geodesicity, minimality, etc.) for lightlike hypersurfaces.
Açıklama
Anahtar Kelimeler
Curvature, Lightlike hypersurface, Lorentzian manifold
Kaynak
Taiwanese Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
17
Sayı
6
