On mean stretch curvatures of Finsler metrics

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Akbar Tayebi Morteza Faghfuri Nadereh Jazer


In this paper, we  prove that every compact Finsler  metric with positive (or negative) relatively   isotropic mean stretch curvature is a weakly Landsberg metric. Then,  we show that weakly stretch Finsler surface has vanishing ${\bf \tilde{B}}$-curvature if and only if it has vanishing ${\bf H}$-curvature.

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Tayebi, A., Faghfuri, M., & Jazer, N. (2020). On mean stretch curvatures of Finsler metrics. Acta Mathematica Universitatis Comenianae, 89(2), 335-342. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1351/857