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Gabrani, Mehran, Rezaei, Bahman, Sengelen Sevim, Esra. (1402). Weakly Douglas Finsler warped product metrics. سامانه مدیریت نشریات علمی, 4(1), 102-113. doi: 10.22098/jfga.2023.13009.1090
Mehran Gabrani; Bahman Rezaei; Esra Sengelen Sevim. "Weakly Douglas Finsler warped product metrics". سامانه مدیریت نشریات علمی, 4, 1, 1402, 102-113. doi: 10.22098/jfga.2023.13009.1090
Gabrani, Mehran, Rezaei, Bahman, Sengelen Sevim, Esra. (1402). 'Weakly Douglas Finsler warped product metrics', سامانه مدیریت نشریات علمی, 4(1), pp. 102-113. doi: 10.22098/jfga.2023.13009.1090
Gabrani, Mehran, Rezaei, Bahman, Sengelen Sevim, Esra. Weakly Douglas Finsler warped product metrics. سامانه مدیریت نشریات علمی, 1402; 4(1): 102-113. doi: 10.22098/jfga.2023.13009.1090

Weakly Douglas Finsler warped product metrics

Journal of Finsler Geometry and its Applications
دوره 4، شماره 1، مهر 2023، صفحه 102-113    اصل مقاله (381.47 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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