کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606612 1337716 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Almost Kenmotsu manifolds with a condition of η-parallelism
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Almost Kenmotsu manifolds with a condition of η-parallelism
چکیده انگلیسی

We consider almost Kenmotsu manifolds (M2n+1,φ,ξ,η,g)(M2n+1,φ,ξ,η,g) with η  -parallel tensor h′=h○φh′=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∇ξh′=0, the almost Kenmotsu manifold is locally a warped product. Finally, some lightlike structures on M2n+1M2n+1 are introduced and studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 27, Issue 5, October 2009, Pages 671–679
نویسندگان
, ,