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Gabrani, Mehran, Sengelen Sevim, Esra. (1399). On projectively flat Finsler warped product metrics with isotropic E-curvature. سامانه مدیریت نشریات علمی, 1(2), 54-62. doi: 10.22098/jfga.2020.1239
Mehran Gabrani; Esra Sengelen Sevim. "On projectively flat Finsler warped product metrics with isotropic E-curvature". سامانه مدیریت نشریات علمی, 1, 2, 1399, 54-62. doi: 10.22098/jfga.2020.1239
Gabrani, Mehran, Sengelen Sevim, Esra. (1399). 'On projectively flat Finsler warped product metrics with isotropic E-curvature', سامانه مدیریت نشریات علمی, 1(2), pp. 54-62. doi: 10.22098/jfga.2020.1239
Gabrani, Mehran, Sengelen Sevim, Esra. On projectively flat Finsler warped product metrics with isotropic E-curvature. سامانه مدیریت نشریات علمی, 1399; 1(2): 54-62. doi: 10.22098/jfga.2020.1239

On projectively flat Finsler warped product metrics with isotropic E-curvature

Journal of Finsler Geometry and its Applications
دوره 1، شماره 2، اسفند 2020، صفحه 54-62    اصل مقاله (88.47 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1239
نویسندگان
Mehran Gabrani* 1؛ Esra Sengelen Sevim2
1Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. Email: m.gabrani@urmia.ac.ir
2Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey. E-mail: esra.sengelen@bilgi.edu.tr
چکیده
‎In this paper‎, ‎we study a special class of Finsler metrics F= α∅(r‎, ‎s) called warped product metrics where α is a Riemannian metric‎, ‎r= u1 and s= v1/α‎. ‎We show that every projectively flat Finsler warped product metrics with isotropic E-curvature is a Randers metric‎.
کلیدواژه‌ها
Finsler ‎warped product metrics‎؛ ‎locally projectively flat‎؛ ‎isotropic E-curvature
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