ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2013, v.20 no.1, pp.25-35

https://doi.org/10.7468/jksmeb.2013.20.1.25

Jin, Dae Ho (Department of Mathematics, Dongguk University)

Jin, Dae Ho. (2013). ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD. 한국수학교육학회지시리즈B:순수및응용수학, 20(1), 25-35, https://doi.org/10.7468/jksmeb.2013.20.1.25

복사

Abstract

In this paper, we study lightlike hypersurfaces of an indefinite Sasakian manifold <TEX>$\bar{M}$</TEX>. First, we construct a type of lightlike hypersurface according to the form of the structure vector field of <TEX>$\bar{M}$</TEX>, named by ascreen lightlike hypersurface. Next, we characterize the geometry of such ascreen lightlike hypersurfaces.

keywords: totally geodesic, semi-symmetric manifold, ascreen lightlike hypersurface, indefinite Sasakian manifold

참고문헌

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications.

Null curves and Hypersurfaces of Semi-Riemannian Manifolds.

(2006). Generalized Cauchy-Riemann lightlike Submanifolds of indefinite Sasakian manifolds. Acta Math. Hungar., 112(1-2), 113-136.

(2007). Lightlike Submanifolds of indefinite Sasakian manifolds. Int. J. Math. Math. Sci., , 57585.

Differential geometry of lightlike submanifolds;Frontiers in Mathematics.

(2010). Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold. Indian J. Pure Appl. Math., 41(4), 569-581. 10.1007/s13226-010-0032-y.

(2012). GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD. Communications of the Korean Mathematical Society, 27(1), 185-195. 10.4134/CKMS.2012.27.1.185.

(2012). Special half lightlike submanifolds of an indefinite cosymplectic manifold. J. Function Spaces and Appl., , 636242.

(2003). Lightlike hypersurfaces of indefinite Sasakian manifolds. Indian J. Pure Appl. Math., 34(9), 1369-1380.

바로가기메뉴

논문 상세

Vol.20 No.1

ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD

ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학