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Haji-Badali, Ali, Majidi, Jila. (1400). A new non-Riemannian curvature related to the class of (α, β)-metrics. سامانه مدیریت نشریات علمی, 2(2), 43-53. doi: 10.22098/jfga.2021.1367
Ali Haji-Badali; Jila Majidi. "A new non-Riemannian curvature related to the class of (α, β)-metrics". سامانه مدیریت نشریات علمی, 2, 2, 1400, 43-53. doi: 10.22098/jfga.2021.1367
Haji-Badali, Ali, Majidi, Jila. (1400). 'A new non-Riemannian curvature related to the class of (α, β)-metrics', سامانه مدیریت نشریات علمی, 2(2), pp. 43-53. doi: 10.22098/jfga.2021.1367
Haji-Badali, Ali, Majidi, Jila. A new non-Riemannian curvature related to the class of (α, β)-metrics. سامانه مدیریت نشریات علمی, 1400; 2(2): 43-53. doi: 10.22098/jfga.2021.1367

A new non-Riemannian curvature related to the class of (α, β)-metrics

Journal of Finsler Geometry and its Applications
دوره 2، شماره 2، اسفند 2021، صفحه 43-53    اصل مقاله (95.92 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1367
نویسندگان
Ali Haji-Badali* 1؛ Jila Majidi2
1Department of Mathematics, Basic Sciences Faculty University of Bonab, Bonab 5551395133, Iran. haji.badali@ubonab.ac.ir
2Department of Mathematics, Basic Sciences Faculty University of Bonab, Bonab 5551395133, Iran. majidi.majidi.2020@gmail.com
چکیده
In this paper, we find a new non-Riemannian quantity for (α, β)-metrics that is closely related to the S-curvature. We call it the S˜-curvature. Then, we show that an (α, β)-metric is Riemannian if and only if S˜=0. For a Randers metric, we find the relation between S-curvature and S∼-curvature.
کلیدواژه‌ها
Hopf maximum principle؛ elliptic operator؛ (α, β)-metrics؛ S-curvature
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