کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606347 | 1337699 | 2011 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On the geometry of almost contact metric manifolds of Kenmotsu type On the geometry of almost contact metric manifolds of Kenmotsu type](/preview/png/4606347.png)
We analyze the Riemannian geometry of almost α-Kenmotsu manifolds, focusing on local symmetries and on some vanishing conditions for the Riemannian curvature. If the characteristic vector field of an almost α -Kenmotsu structure belongs to the so-called (κ,μ)′(κ,μ)′-nullity distribution, κ<−α2κ<−α2, then the Riemannian curvature is completely determined. These manifolds provide a special case of a wider class of almost α -Kenmotsu manifolds, for which an operator h′h′ associated to the structure is η-parallel and has constant eigenvalues. All these manifolds are locally warped products. Finally, we give a local classification of almost α -Kenmotsu manifolds, up to DD-homothetic deformations. Under suitable conditions, they are locally isomorphic to Lie groups.
Journal: Differential Geometry and its Applications - Volume 29, Supplement 1, August 2011, Pages S58–S64