바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

Non-tangential half lightlike submanifolds of an indefinite cosymplectic manifold

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
2013, v.20 no.2, pp.89-101
https://doi.org/10.7468/jksmeb.2013.20.2.89
Jin, Dae Ho
  • Downloaded
  • Viewed

Abstract

In this paper, we study half lightlike submanifolds M of an indefinite cosymplectic manifold <TEX>$\bar{M}$</TEX>, whose structure vector field is not tangent to M. First, we construct two types of such half lightlike submanifolds, named by transversal and normal half lightlike submanifolds. Next, we characterize the lightlike geometries of such two types half lightlike submanifolds.

keywords
totally umbilical, transversal and normal half lightlike submanifold, indefinite cosymplectic manifold

Reference

1.

Contributions to geometry of CR-submanifold.

2.

(1952). Sur la reductibilite d'un espace de Riemannian. Comm. Math. Helv., 26, 328-344. 10.1007/BF02564308.

3.

(2007). On canonical screen for lightlike Submanifolds of codimension 2. Central Europen J. Math., 5(4), 710-719. 10.2478/s11533-007-0026-0.

4.

(1992). Lightlike submanifolds of codimension 2. Math. J. Toyama Univ., 15, 59-82.

5.

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications.

6.

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

7.

(2003). Totally umbilical submanifolds. Kodai Math. J., 26(1), 49-68. 10.2996/kmj/1050496648.

8.

Null curves and Hypersurfaces of Semi-Riemannian Manifolds.

9.

Differential geometry of lightlike submanifolds;Frontiers in Mathematics.

10.

(2011). TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD. The Pure and Applied Mathematics, 18(1), 51-61. 10.7468/jksmeb.2011.18.1.051.

11.

(2011). HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD. The Pure and Applied Mathematics, 18(2), 173-183. 10.7468/jksmeb.2011.18.2.173.

12.

(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.

13.

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

14.

(2011). Generic lightlike submanifolds of an indefinite cosymplectic manifold. Mathematical Problems in Engineering, 2011, 610986.

15.

Singular Semi-Riemannian Geometry;Mathematics and its Applications.

16.

Lightlike Submanifolds of Indefinite Cosymplectic manifolds.

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