FINSLER METRICS WITH SPECIAL LANDSBERG CURVATURE

Author(s):

A. Tayebi , E. Peyghan

Message:
Abstract:
In this paper, we study a class of Finsler metrics which contains the class of P-reducible and general relatively isotropic Landsberg metrics, as special cases. We prove that on a compact Finsler manifold, this class of metrics is nothing other than Randers metrics. Finally, we study this class of Finsler metrics with scalar flag curvature and find a condition under which these metrics reduce to Randers metric.
Language:
English
Published:
Iranian Journal of science and Technology (A: Siences), Volume:33 Issue: 3, Summer 2009
Page:
241
https://www.magiran.com/p797616