Browse > Article
http://dx.doi.org/10.7468/jksmeb.2012.19.3.211

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION  

Jin, Dae-Ho (Department of Mathematics, Dongguk University)
Publication Information
The Pure and Applied Mathematics / v.19, no.3, 2012 , pp. 211-228 More about this Journal
Abstract
We study lightlike submanifolds M of a semi-Riemannian manifold $\bar{M}$ with a semi-symmetric non-metric connection subject to the conditions; (a) the characteristic vector field of $\bar{M}$ is tangent to M, (b) the screen distribution on M is totally umbilical in M and (c) the co-screen distribution on M is conformal Killing.
Keywords
totally umbilical; conformal Killing distribution; irrotational; semi-Riemannian manifold with a semi-symmetric non-metric connection;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Ageshe, N.S. & Chafle, M.R.: A semi-symmetric non-metric connection on a Riemannian manifold. Indian J. Pure Appl. Math. 23 (1992), no. 6, 399-409.
2 de Rham, G.: Sur la reductibilite d'un espace de Riemannian. Comm. Math. Helv. 26 (1952), 328-344.   DOI
3 Duggal, K.L. & Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Kluwer Acad. Publishers, Dordrecht, 1996.
4 Duggal, K.L. & Jin, D.H.: Totally umbilical lightlike submanifolds. Kodai Math. J. 26 (2003), 49-68.   DOI
5 Hawking, S.W. & Ellis, G.F.R.: The large scale structure of space-time. Cambridge University Press, Cambridge, 1973.
6 Jin, D.H.: Geometry of lightlike hypersurfaces of a Lorentz manifold with a semi- symmetric non-metric connection. J. Geo. Phy., in press.
7 Jin, D.H. & Lee, J.W.: Geometry of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection. accepted in Bull. Korean Math. Soc. 2012.
8 Kupeli, D.N.: Singular Semi-Riemannian Geometry, Mathematics and Its Applications. vol. 366, Kluwer Acad. Publishers, Dordrecht, 1996.
9 O'Neill, B.: Semi-Riemannian Geometry with Applications to Relativity. Academic Press, 1983.
10 Yasar, E., Coken, A. C. & Yucesan, A.: Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection. Math. Scand. 102 (2008), 253- 264.   DOI