A class of Finsler metrics with bounded non-Riemannian curvatures

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz-Iran. Email: hedayatian@scu.ac.ir

2 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz-Iran. Email: nezadiyan@gmail.com

3 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz-Iran. Email: m.yarahmadi@scu.ac.ir

Abstract

In this paper, we find a necessary and sufficient condition for a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold which has bounded mean Cartan torsion. Moreover, we obtain a necessary and sufficient condition under which the above mentioned class of Finsler metrics has bounded mean Landsberg curvature. Next, we investigate these metrics with bounded mean Cartan torsion and mean Landsberg curvature. Furthermore, we give explicit examples of this type of metrics.

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 2, Issue 1
July 2021
Pages 40-50

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