[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2015.024

NON-EXISTENCE FOR SCREEN QUASI-CONFORMAL IRROTATIONAL HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM ADMITTING A SEMI-SYMMETRIC NON-METRIC CONNECTION

Jin, Dae Ho (Department of Mathematics Dongguk University)

Publication Information

East Asian mathematical journal / v.31, no.3, 2015 , pp. 337-344 More about this Journal

Abstract

We study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form $\bar{M}$ (c) equipped with a semi-symmetric non-metric connection subject such that the structure vector field of $\bar{M}$ (c) belongs to the screen distribution S(TM). The main result is a non-existence theorem for such half lightlike submanifolds.

Keywords

irrotational; screen quasi-conformal; half lightlike submanifold; semi-symmetric non-metric connection;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

1	N.S. Ageshe and M.R. Chafle, A semi-symmetric non-metric connection on a Riemannian manifold, Indian J. Pure Appl. Math., 23(6), 1992, 399-409.
2	K.L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
3	K.L. Duggal and D.H. Jin, Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific, 2007.
4	K.L. Duggal and B. Sahin, Differential geometry of lightlike submanifolds, Frontiers in Mathematics, Birkhauser, 2010.
5	D.H. Jin, Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection, J. Korean Soc Math. Edu. Ser. B: Pure Appl. Math., 19(3), 2012, 211-228.
6	D.H. Jin and J.W. Lee, A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection, Bull. Korean Math. Soc. 50(3), 2013, 705-717. DOI ScienceOn
7	B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, 1983.
8	E. Yasar, A.C. Coken and A. Yucesan, Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection, Math. Scand. 102, 2008, 253-264. DOI