Weakly Douglas Finsler warped product metrics
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
View: 88
This Paper With 12 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JFGA-4-1_010
تاریخ نمایه سازی: 17 آبان 1402
Abstract:
Recent studies show that warped product manifolds are useful in differential geometry as well as in physics. The goal of this paper is to study on some projective invariants of a special product manifold with Finsler metrics arising from warped products. Firstly, we consider the class of weakly Douglas metrics, weaker notion of Douglas metrics, introduced by Atashafrouz, Najafi and Tayebi in [۴]. We prove that every Finsler warped product manifold Mn (n ≥ ۳) is weakly Douglas if and only if it is Douglas. Finally, under a certian condition, we show that a class of Finsler warped product metric is locally projectively flat if and only if it is of scalar flag curvature.
Authors
Mehran Gabrani
Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran.
Bahman Rezaei
Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran.
Esra Sengelen Sevim
Department of Mathematics, Istanbul Bilgi University, ۳۴۰۶۰, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: ۲/۱۳ Eyupsultan, Istanbul, Turkey.