A note on trans-Sasakian manifolds

被引：27
|
作者：
Deshmukh, Sharief [1 ]
Tripathi, Mukut Mani [2 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[2] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India
来源：
MATHEMATICA SLOVACA | 2013年 / 63卷 / 06期
关键词：
almost contact metric manifold; Sasakian manifold; trans-Sasakian manifold;
D O I：
10.2478/s12175-013-0176-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (alpha, beta) to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained. (C) 2013 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1361 / 1370
页数：10
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