바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

Article Contents

Prev Next
e-Submission

Vol.19 No.4

Citation Share

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Jin,, D. H. (2012). THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(4), 327-335, https://doi.org/10.7468/jksmeb.2012.19.4.327

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

Reference

1.

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

2.

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications.

3.

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

4.

Null curves and Hypersurfaces of Semi-Riemannian Manifolds.

5.

(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.

6.

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

7.

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

8.

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

9.

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

e-Submission OA Policy