바로가기메뉴

본문 바로가기 주메뉴 바로가기

ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
사전등록 바로가기
 

logo

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

ISSN : 1226-0657

논문 상세

다음
논문 투고

Vol.19 No.3

Citation Share

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

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.3, pp.211-228
https://doi.org/10.7468/jksmeb.2012.19.3.211
Jin, Dae-Ho (Department of Mathematics, Dongguk University)
Jin, Dae-Ho. (2012). LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION. 한국수학교육학회지시리즈B:순수및응용수학, 19(3), 211-228, https://doi.org/10.7468/jksmeb.2012.19.3.211

Abstract

We study lightlike submanifolds M of a semi-Riemannian manifold <TEX>$\bar{M}$</TEX> with a semi-symmetric non-metric connection subject to the conditions; (a) the characteristic vector field of <TEX>$\bar{M}$</TEX> is tangent to M, (b) the screen distribution on M is totally umbilical in M and (c) the co-screen distribution on M is conformal Killing.

keywords
totally umbilical, conformal Killing distribution, irrotational, semi-Riemannian manifold with a semi-symmetric non-metric connection

참고문헌

1.

(1992). A semi-symmetric non-metric connection on a Riemannian manifold. Indian J. Pure Appl. Math., 23(6), 399-409.

2.

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

3.

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications.

4.

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

5.

The large scale structure of space-time.

6.

(0000). Geometry of lightlike hypersurfaces of a Lorentz manifold with a semi- symmetric non-metric connection. J. Geo. Phy., .

7.

(2012). Geometry of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Bull. Korean Math. Soc., .

8.

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

9.

Semi-Riemannian Geometry with Applications to Relativity.

10.

(2008). Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection. Math. Scand., 102, 253-264.

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책