THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE

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

2012, v.19 no.4, pp.327-335

https://doi.org/10.7468/jksmeb.2012.19.4.327

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

Jin, Dae Ho. (2012). THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE. 한국수학교육학회지시리즈B:순수및응용수학, 19(4), 327-335, https://doi.org/10.7468/jksmeb.2012.19.4.327

복사

Abstract

We study half lightlike submanifolds M of semi-Riemannian manifolds <TEX>$\widetilde{M}$</TEX> of quasi-constant curvatures. The main result is a characterization theorem for screen homothetic Einstein half lightlike submanifolds of a Lorentzian manifold of quasi-constant curvature subject to the conditions; (1) the curvature vector field of <TEX>$\widetilde{M}$</TEX> is tangent to M, and (2) the co-screen distribution is a conformal Killing one.

keywords: screen homothetic, conformal Killing distribution, half lightlike submanifold, semi-Riemannian manifold of quasi-constant curvature

참고문헌

(1972). Hypersurfaces of a conformally flat space. Tensor (N. S.), 26, 318-322.

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications.

(1999). Half-lightlike submanifolds of codimension 2. Math. J. Toyama Univ., 22, 121-161.

Null curves and Hypersurfaces of Semi-Riemannian Manifolds.

(2008). EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH A KILLING CO-SCREEN DISTRIBUTION. Honam Mathematical Journal, 30(3), 487-504. 10.5831/HMJ.2008.30.3.487.

(2012). Einstein half lightlike submanifolds with special conformalities. Bull. Korean Math. Soc., .

(2011). Lightlike hypersurfaces of a semi-Riemannian manifold of quasi-constant curvature. Korean Math. Soc., .

(2012). Lightlike submanifolds of a semi-Riemannian manifold of quasi- constant curvature. J. of Appl. Math., .

Singular Semi-Riemannian Geometry. Mathematics and Its Applications, vol. 366.

바로가기메뉴

논문 상세

Vol.19 No.4

THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE

THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학