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Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties |
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| Authors: | B Najafi Z Shen A Tayebi |
| Institution: | (1) Department of mathematics, Shahed University of Tehran, 18151-159 Tehran, Iran;(2) Department of Mathematical Sciences, Indiana University Purdue University Indianapolis (IUPUI), 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA;(3) Department of Mathematics, Faculty of Science, The University of Qom, Qom, Iran |
| Abstract: | In this paper, we study Finsler metrics of scalar flag curvature. We find that a non-Riemannian quantity is closely related to the flag curvature. We show that the flag curvature is weakly isotropic if and only if this non-Riemannian quantity takes a special form. This will lead to a better understanding on Finsler metrics of scalar flag curvature. |
| Keywords: | Finsler metric Flag curvature Non-Riemannian quantity |
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