Browse > Article
http://dx.doi.org/10.5831/HMJ.2013.35.4.657

INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN LIGHTLIKE HYPERSURFACE  

Jin, Dae Ho (Department of Mathematics, Dongguk University)
Publication Information
Honam Mathematical Journal / v.35, no.4, 2013 , pp. 657-666 More about this Journal
Abstract
We study indefinite trans-Sasakian manifold $\bar{M}$ admitting an ascreen lightlike hypersurface M. Our main results are several classification theorems of such an indefinite trans-Sasakian manifold.
Keywords
ascreen lightlike hypersurface; indefinite trans-Sasakian manifold; indefinite generalized Sasakian space form;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 P. Alegre, D.E. Blair and A. Carriazo, Generalized Sasakian space form, Israel J. Math. 141 (2004), 157-183.   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, Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientic, 2007.
4 K.L Duggal and B. Sahin, Generalized Cauchy-Riemann lightlike Submanifolds of indenite Sasakian manifolds, Acta Math. Hungar. 112(1-2) (2006), 113-136.
5 K.L. Duggal and B. Sahin, Lightlike Submanifolds of indenite Sasakian manifolds, Int. J. Math. Math. Sci. 2007, Art ID 57585, 1-21.
6 K.L. Duggal and B. Sahin, Differential geometry of lightlike submanifolds, Frontiers in Mathematics, Birkhauser, 2010.
7 D.H. Jin, Geometry of lightlike hypersurfaces of an indenite Sasakian manifold, Indian J. of Pure and Applied Math. 41(4) (2010), 569-581.   DOI   ScienceOn
8 D.H. Jin, The curvatures of lightlike hypersurfaces of an indenite Kenmotsu manifold, Balkan J. Geo. and Its Appl. 17(1) (2012), 49-57.
9 D.H. Jin, Geometry of lightlike hypersurfaces of an indefinite cosymplectic manifold, Commun. Korean Math. Soc. 27(1) (2012), 185-195.   과학기술학회마을   DOI   ScienceOn
10 D.H. Jin, Ascreen lightlike hypersurfaces of an indenite Sasakian manifold, J. Korean Soc Math. Edu. Ser. B: Pure Appl. Math., 20(1) (2013), 25-35.   과학기술학회마을   DOI   ScienceOn
11 D.H. Jin, Non-existence of screen homothetic half lightlike submanifolds of an indenite Kenmotsu manifold, Balkan J. Geo. and Its Appl. 18(1) (2013), 22- 30.
12 D.H. Jin, Ascreen lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connection, accepted in Commun. Korean Math. Soc. 2013.
13 D.H. Jin and J.W. Lee, Generic lightlike submanifolds of an indenite cosymplectic manifold, Math. Prob. in Engineering, 2011, Art ID 610986, 1-16.
14 J.A. Oubina, New classes of almost contact metric structures, Publ. Math. Debrecen 32 (1985), 187-193.