ON T-CURVATURE TENSOR IN K-CONTACT AND SASAKIAN MANIFOLDS

被引：0
|
作者：
Tripathi, Mukut Mani [1 ]
Gupta, Punam [1 ]
机构：
[1] Banaras Hindu Univ, Fac Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2011年 / 4卷 / 01期
关键词：
T-curvature tensor; quasi-conformal curvature tensor; conformal curvature tensor; conharmonic curvature tensor; concircular curvature tensor; pseudo-projective curvature tensor; projective curvature tensor; M-projective curvature tensor; Wi-curvature tensors (i = 0; .; 9); W-i*-curvature tensors (j = 0; 1); K-contact manifold; regular K-contact manifold; Sasakian manifold; eta-Einstein manifold; Einstein manifold;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some properties of quasi-T-flat, xi-T-flat and phi-T-flat K-contact and Sasakian manifolds are obtained. We give the necessary and sufficient condition for the K-contact manifold to be xi-T-flat under some algebraic condition. Among others, it is proved that a compact phi-T-flat K-contact manifold with regular contact vector field, under an algebraic condition, is a principal S-1-bundle over an almost Kaehler space of constant holomorphic sectional curvature.
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收藏
页码：32 / 47
页数：16
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