Browse > Article
http://dx.doi.org/10.4134/BKMS.b170093

GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.2, 2018 , pp. 515-531 More about this Journal
Abstract
Jin studied lightlike hypersurfaces of an indefinite Kaehler manifold [6, 8] or indefinite trans-Sasakian manifold [7] with a quarter-symmetric metric connection. Jin also studied generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection [10]. We study generic lightlike submanifolds of an indefinite Kaehler manifold with a quarter-symmetric metric connection.
Keywords
quarter-symmetric metric connection; generic lightlike submanifold; indefinite Kaehler structure;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 G. de Rham, Sur la reductibilite d'un espace de Riemannian, Comment. Math. Helv. 26 (1952), 328-344.   DOI
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, Generic lightlike submanifolds of an indefinite Sasakian manifold, Int. Electron. J. Geom. 5 (2012), no. 1, 108-119.
4 D. H. Jin, Indefinite generalized Sasakian space form admitting a generic lightlike submanifold, Bull. Korean Math. Soc. 51 (2014), no. 6, 1711-1726.   DOI
5 D. H. Jin, Generic lightlike submanifolds of an indefinite trans-Sasakian manifold of a quasi-constant curvature, Appl. Math. Sci. 9 (2015), no. 60, 2985-2997.
6 D. H. Jin, Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connection, Bull. Korean Math. Soc. 52 (2015), no. 1, 201-213.   DOI
7 D. H. Jin, Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection, Bull. Korean Math. Soc. 54 (2017), no. 3, 1003-1022.   DOI
8 D. H. Jin, Lightlike hypersurfaces of a trans-Sasakian manifold with a quarter-symmetric metric connection, Appl. Math. Sci. 9 (2015), no. 28, 1393-1406.
9 D. H. Jin, Geometry of lightlike hypersurface of an indefinite Kaehler manifold with a quarter-symmetric metric connection, Appl. Math. Sci. 10 (2016), no. 6, 289-299.
10 D. H. Jin, Special lightlike hypersurfaces of indefinite Kaehler manifolds, Filomat 30 (2016), no. 7, 1919-1930.   DOI
11 D. H. Jin and J. W. Lee, Generic lightlike submanifolds of an indefinite cosymplectic manifold, Math. Probl. Eng. 2011 (2011), Art ID 610986, 1-16.
12 K. Yano and T. Imai, Quarter-symmetric metric connection and their curvature tensors, Tensor (N.S.) 38 (1982), 13-18.
13 D. H. Jin and J. W. Lee, A semi-Riemannian manifold of quasi-constant curvature admits lightlike submanifolds, Int. J. Math. Anal. 9 (2015), no. 25, 1215-1229.   DOI
14 D. N. Kupeli, Singular Semi-Riemannian Geometry, Mathematics and Its Applications, Vol. 366, Kluwer Acad. Publishers, Dordrecht, 1996.