Locally Symmetric CR-Integrable Almost Kenmotsu Manifolds

Locally Symmetric CR-Integrable Almost Kenmotsu Manifolds
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DOI:
10.1007/s00009-014-0388-z
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发表时间:
2014-02
影响因子:
1.1
通讯作者:
Yaning Wang;Ximin Liu
Yaning Wang;Ximin Liu
中科院分区:
数学3区
文献类型:
--
作者:
Yaning Wang;Ximin Liu

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本文证明了具有cr -可积结构的2n+1维的局部对称几乎Kenmotsu流形与常截面曲率- 1的双曲空间局部等距,或与常截面曲率- 4的(n+ 1)维流形与平维流形的黎曼积局部等距。
In this paper, it is proved that a locally symmetric almost Kenmotsu manifold of dimension 2n+1,n> 1, withCR-integrable structure is locally isometric to either the hyperbolic space of constant sectional curvature −1, or the Riemannian product of an (n+ 1)-dimensional manifold of constant sectional curvature −4 and a flatn-dimensional manifold.