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http://dx.doi.org/10.7858/eamj.2016.001

TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
East Asian mathematical journal / v.32, no.1, 2016 , pp. 1-11 More about this Journal
Abstract
We study transversal half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvature. First, we provide a new result for such a transversal half lightlike submanifold. Next, we investigate a statical half lightlike submanifold M such that (1) the screen distribution S(TM) is totally umbilical, or (2) M is screen homothetic.
Keywords
transversal manifold; quasi-constant curvature; statical; totally umbilical screen; screen homothetic;
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Times Cited By KSCI : 6  (Citation Analysis)
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1 B.Y. Chen and K.Yano, Hypersurfaces of a conformally flat space, Tensor (N. S.) 26, 1972, 318-322.
2 G. de Rham, Sur la reductibilite d'un espace de Riemannian, Comm. Math. Helv. 26, 1952, 328-344.   DOI
3 K.L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
4 K.L. Duggal and D.H. Jin, Half-lightlike submanifolds of codimension 2, Math. J. Toyama Univ., 22, 1999, 121-161.
5 K.L. Duggal and D.H. Jin, Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific, 2007.
6 K.L. Duggal and B. Sahin, Differential geometry of lightlike submanifolds, Frontiers in Mathematics, Birkhauser, 2010.
7 D.H. Jin, A characterization of screen conformal half lightlike submanifolds, Honam Mathematical J. 31(1), 2009, 17-23.   DOI
8 D.H. Jin, Geometry of screen conformal real half lightlike submanifolds, Bull. Korean Math. Soc., 47(4), 2010, 701-714.   DOI
9 D.H. Jin, Real half lightlike submanifolds with totally umbilical properties, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math. 17(1), 2010, 51-63.
10 D.H. Jin, Transversal half lightlike submanifolds of an indefinite Sasakian manifold, J. Korean Soc Math. Edu. Ser. B: Pure Appl. Math. 18(1), 2011, 51-61.
11 D.H. Jin, Half lightlike submanifolds of an indefinite Sasakian manifold, J. Korean Soc Math. Edu. Ser. B: Pure Appl. Math. 18(2), 2011, 173-183.
12 D.H. Jin, A semi-Riemannian manifold of quasi-constant curvature admits some half lightlike submanifolds, Bull. Korean Math. Soc. 50(3), 2013, 1041-1048.   DOI
13 D.H. Jin, Statical half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvature, submitted in Commun. Korean Math. Soc.
14 D.N. Kupeli, Singular Semi-Riemannian Geometry. Mathematics and Its Applications, Kluwer Acad. Publishers, Dordrecht, 1996.