HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

被引：13
|
作者：
Jin, Dae Ho [1 ]
机构：
[1] Dongguk Univ, Dept Math, Gyeongju 780714, South Korea
来源：
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2011年 / 18卷 / 02期
关键词：
totally umbilical; locally symmetric; indefinite Sasakian manifold;
D O I：
10.7468/jksmeb.2011.10.2.173
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study half lightlike submanifolds of an indefinite Sasakian manifold. The aim of this paper is to prove the following result: If a locally symmetric half lightlike submanifold of an indefinite Sasakian manifold is totally umbilical, then it is of constant positive curvature 1. In addition to this result, we prove three characterization theorems for such a half lightlike submanifold.
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页码：173 / 183
页数：11
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