Weakly Douglas Finsler warped product metrics
عنوان مقاله: Weakly Douglas Finsler warped product metrics
شناسه ملی مقاله: JR_JFGA-4-1_010
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_JFGA-4-1_010
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
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.
خلاصه مقاله:
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.
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.
کلمات کلیدی: Weakly Douglas metric, locally projectively flat, Scalar flag curvature
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1814495/