A `xi`-Projectively Flat Connection on Kenmotsu Manifolds
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 223
فایل این مقاله در 8 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_MACO-1-1_002
تاریخ نمایه سازی: 2 بهمن 1399
چکیده مقاله:
In this paper, we introduce a semi-symmetric non-metric connection on `eta`-Kenmotsu manifolds that changes an `eta`-Kenmotsu manifold into an Einstein manifold. Next, we consider an especial version of this connection and show that every Kenmotsu manifold is `xi`-projectively flat with respect to this connection. Also, we prove that if the Kenmotsu manifold `M` is a `xi`-concircular flat with respect to the new connection, then `M` is necessarily of zero scalar curvature. Then, we review the sense of `xi`-conformally flat on Kenmotsu manifolds and show that a `xi`-conformally flat Kenmotsu manifold with respect to the new connection is an `eta`-Einstein with respect to the Levi-Civita connection. Finally, we prove that there is no `xi`-conharmonically flat Kenmotsu manifold with respect to this connection.
کلیدواژه ها:
نویسندگان
Vahid Pirhadi
University of Kashan