On conformally flat contact metric manifolds

被引：0
|
作者：
Gouli-Andreou F. [1 ]
Tsolakidou N. [1 ]
机构：
[1] Aristotle University of Thessaloniki, Department of Mathematics
来源：
Journal of Geometry | 2004年 / 79卷 / 1-2期
关键词：
conformally flat Riemannian manifold; Contact metric manifold;
D O I：
10.1007/s00022-003-1551-z
中图分类号：
学科分类号：
摘要：
In the present paper we classify the conformally flat contact metric manifolds of dimension 2n + 1 (n > 1) satisfying R(·, ξ)ξ = -kφ2. We prove that these manifolds are Sasakian of constant curvature 1. © Birkhäuser Verlag, Basel, 2004.
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页码：75 / 88
页数：13
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