A class of Finsler metrics with bounded non-Riemannian curvatures

Author(s):

Sina Hedayatian * , Neda Izadian , Mohammad Yar Ahmadi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

$(alpha- beta)$ , Cartan Torsion , mean Cartan torsion , Landsberg

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:2 Issue: 1, Aug 2021
Pages:
40 to 50
https://www.magiran.com/p2312537