Almost Kenmotsu manifolds with a condition of η-parallelism
Almost Kenmotsu manifolds with a condition of η-parallelism
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DOI：
10.1016/j.difgeo.2009.03.007
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发表时间：
2009-10
影响因子：
0.5
通讯作者：
G. Dileo;A. Pastore
中科院分区：
文献类型：
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作者：
G. Dileo;A. Pastore
我们考虑几乎Kenmotsu流形（M2n+1,φ,ξ,η,g），其η-平行张量h′=h n φ， 2h为结构张量φ对Reeb向量场ξ的李导数。我们描述了一个正交于ξ分布的积分子流形的黎曼几何，表征了结构的cr -可积性。在附加条件∇ξh′=0下，几乎Kenmotsu流形是局部翘曲积。最后介绍并研究了M2n+1上的一些类光结构。
We consider almost Kenmotsu manifolds (M2n+1,φ,ξ,η,g) with η-parallel tensor h′=h○φ, 2h being the Lie derivative of the structure tensor φ with respect to the Reeb vector field ξ. We describe the Riemannian geometry of an integral submanifold of the distribution orthogonal to ξ, characterizing the CR-integrability of the structure. Under the additional condition ∇ξh′=0, the almost Kenmotsu manifold is locally a warped product. Finally, some lightlike structures on M2n+1are introduced and studied.