Browse > Article
http://dx.doi.org/10.14403/jcms.2011.24.4.14

GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 769-781 More about this Journal
Abstract
We study the geometry of half lightlike sbmanifolds M of a semi-Riemannian space form $\tilde{M}(c)$ admitting a semi-symmetric metric connection subject to the conditions: (1) The screen distribution S(TM) is totally umbilical (geodesic) and (2) the co-screen distribution $S(TM^{\bot})$ of M is a conformal Killing one.
Keywords
totally umbilical; conformal Killing distribution; semi-Riemannian space form with semi-symmetric metric connection;
Citations & Related Records
연도 인용수 순위
  • Reference
1 B. Y. Chen, Geometry of Submanifolds, Marcel Dekker, New York, 1973.
2 K. L. Duggal and D. H. Jin, Half-lightlike submanifolds of codimension 2, Math. J. Toyama Univ. 22 (1999), 121-161.
3 H. A. Hayden, Subspace of a space with torsion, Proc. London Math. Soc. 34 (1932), 27-50.   DOI
4 T. Imai, Hypersurfaces of a Riemannian manifold with semi-symmetric metric connection, Tensor, N. S., 23, 1972, 300-306.
5 D. H. Jin and J. W. Lee, Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric metric connection, to appear Mediterranean J. of Mathematics.
6 D. N. Kupeli, Singular Semi-Riemannian Geometry, Mathematics and Its Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
7 Z. Nakao, Submanifolds of a Riemannian manifold with semi-symmetric metric connection, Proc. Amer. Math. Soc. 54 (1976), 261-266.   DOI   ScienceOn
8 K. Yano, On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15 (1970), 1579-1586.