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Rajabi, Tahere. (1399). On the norm of Cartan torsion of two classes of (α, β)−metrics. سامانه مدیریت نشریات علمی, 1(1), 66-72. doi: 10.22098/jfga.2020.1012
Tahere Rajabi. "On the norm of Cartan torsion of two classes of (α, β)−metrics". سامانه مدیریت نشریات علمی, 1, 1, 1399, 66-72. doi: 10.22098/jfga.2020.1012
Rajabi, Tahere. (1399). 'On the norm of Cartan torsion of two classes of (α, β)−metrics', سامانه مدیریت نشریات علمی, 1(1), pp. 66-72. doi: 10.22098/jfga.2020.1012
Rajabi, Tahere. On the norm of Cartan torsion of two classes of (α, β)−metrics. سامانه مدیریت نشریات علمی, 1399; 1(1): 66-72. doi: 10.22098/jfga.2020.1012

On the norm of Cartan torsion of two classes of (α, β)−metrics

Journal of Finsler Geometry and its Applications
دوره 1، شماره 1، مهر 2020، صفحه 66-72    اصل مقاله (78.25 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1012
نویسنده
Tahere Rajabi*
Department of Mathematics, Faculty of Science, University of Qom, Qom. Iran E-mail: tr rajabi@yahoo.com
چکیده
Z. Shen proved that Finsler manifold with unbounded Cartan torsion can not be isometrically imbedded into any Minkowski space. This shows that the norm of Cartan torsion of Finsler metrics has an essential role for studying of immersion theory in Finsler geometry. In this paper, we study the norm of Cartan torsion of Ingarden-Tàmassy and Arctangent Finsler metrics that are special (α, β)-metrics.
کلیدواژه‌ها
(α, β)−metric؛ Cartan Torsion؛ Ingarden-Tàmassy metric؛ Arctangent metric
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