On Lightlike Hypersurfaces of a Semi-Riemannian Space form
In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a lightlike Hypersurface of IR4q4m(m,q > 1) is totally geodesic under some restrictions. Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.
Anahtar Kelimeler:
Turk. J. Math., 27, (2003), 283-297. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.2.
On Lightlike Hypersurfaces of a Semi-Riemannian Space form
In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a lightlike Hypersurface of IR4q4m(m,q > 1) is totally geodesic under some restrictions. Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.
Keywords:
Turk. J. Math., 27, (2003), 283-297. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.2.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
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