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Weakly Douglas Finsler warped product metrics | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 4، شماره 1، مهر 2023، صفحه 102-113 اصل مقاله (105.33 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2023.13009.1090 | ||
| نویسندگان | ||
| Mehran Gabrani* 1؛ Bahman Rezaei1؛ Esra Sengelen Sevim2 | ||
| 1Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran. | ||
| 2Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey. | ||
| چکیده | ||
| 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 [4]. We prove that every Finsler warped product manifold Mn (n ≥ 3) 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. | ||
| کلیدواژه‌ها | ||
| Weakly Douglas metric؛ Locally projectively flat؛ Scalar flag curvature | ||
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آمار تعداد مشاهده مقاله: 114 تعداد دریافت فایل اصل مقاله: 172 |
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