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http://dx.doi.org/10.7858/eamj.2014.027

SINGULAR THEOREMS FOR LIGHTLIKE SUBMANIFOLDS IN A SEMI-RIEMANNIAN SPACE FORM  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
East Asian mathematical journal / v.30, no.3, 2014 , pp. 371-383 More about this Journal
Abstract
We study the geometry of lightlike submanifolds of a semi-Riemannian manifold. The purpose of this paper is to prove two singular theorems for irrotational lightlike submanifolds M of a semi-Riemannian space form $\bar{M}(c)$ admitting a semi-symmetric non-metric connection such that the structure vector field of $\bar{M}(c)$ is tangent to M.
Keywords
irrotational; screen quasi-conformal; lightlike submanifold; semi-symmetric non-metric connection;
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Times Cited By KSCI : 4  (Citation Analysis)
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1 Jin, D.H.: Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection, J. of Ineq. and Appl., 2013, 2013:403.   DOI   ScienceOn
2 Jin, D.H.: 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.   과학기술학회마을   DOI   ScienceOn
3 Jin, D.H and Lee, J.W.: 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.   과학기술학회마을   DOI   ScienceOn
4 Kang, T.H., Jung, S.D., Kim, B.H., Pak, H.K. and Pak, J.S.: Lightlike hypersurfaces of indefinite Sasakian manifolds, Indian J. Pure Appl. Math., 34, 2003, 1369-1380.
5 Kupeli, D.N.: Singular Semi-Riemannian Geometry, Kluwer Academic, 366, 1996.
6 Massamba, F.: Screen almost conformal lightlike geometry in indefinite Kenmotsu space forms, Int. Electron. J. Geom., 5(2), 2012, 36-58.
7 Yasar, E., Coken, A.C. and Yucesan, A.: Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection, Math. Scand. 102, 2008, 253-264.   DOI
8 Ageshe, N.S. and Cha e, M.R.: A semi-symmetric non-metric connection on a Rie-mannian manifold, Indian J. Pure Appl. Math., 23(6), 1992, 399-409.
9 Calin, C.: Contributions to geometry of CR-submanifold, Thesis, University of Iasi, Iasi, Romania, 1998.
10 Duggal, K.L. and Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
11 Duggal, K.L. and Jin, D.H.: Null curves and Hypersurfaces of Semi-Riemannian Man-ifolds, World Scientific, 2007.
12 Duggal, K.L. and Sahin, B.: Lightlike Submanifolds of indefinite Sasakian manifolds, Int. J. Math. Math. Sci., 2007, Art ID 57585, 1-21.
13 Duggal, K.L. and Sahin, B.: Differential geometry of lightlike submanifolds, Frontiers in Mathematics, Birkhauser, 2010.
14 Jin, D.H.: Ascreen lightlike hypersurfaces of an indefinite Sasakian manifold, J. Korean Soc Math. Edu. Ser. B: Pure Appl. Math., 20(1), 2013, 25-35.   과학기술학회마을   DOI   ScienceOn
15 Jin, D.H.: Geometry of lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connection, submitted in Indian J. Pure Appl. Math.
16 Jin, D.H.: Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection, Bull. Korean Math. Soc. 50(4), 2013, 1367-1376.   과학기술학회마을   DOI   ScienceOn
17 Duggal, K.L. and Sahin, B.: Generalized Cauchy-Riemann lightlike Submanifolds of indefinite Sasakian manifolds, Acta Math. Hungar., 122(1-2), 2009, 45-58.   DOI