바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

ISSN : 1226-0657

Article Contents

Prev Next
e-Submission

Vol.17 No.1

Citation Share

HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

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
2010, v.17 no.1, pp.29-38
Jin, Dae-Ho
Jin,, D. (2010). HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(1), 29-38.

Abstract

We study the geometry of half light like submanifold M of a semi-Riemannian space form <TEX>$\bar{M}$</TEX>(c) subject to the conditions : (a) the screen distribution on M is totally umbilic in M and the coscreen distribution on M is conformal Killing on <TEX>$\bar{M}$</TEX> or (b) the screen distribution is totally geodesic in M and M is irrotational.

keywords
totally umbilical, conformal Killing distribution, irrotational

Reference

1.

Harris. (1982). . Indiana University Mathematics Journal, 31(3), 289-308. 10.1512/iumj.1982.31.31026.

2.

3.

(2009). . Honam Math. J., 31(1), 17-23.

4.

(1999). . Math. J. Toyama Univ., 22, 121-16.

5.

(1992). . Math. J. Toyama Univ., 15, 59-82.

6.

7.

8.

(2008). . Honam Math. J., 30(3), 487-504.

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

e-Submission OA Policy