FINSLER METRICS WITH SPECIAL LANDSBERG CURVATURE

Document Type : Regular Paper

Authors

1 Department of Mathematics and Computer Science, Qom University, Qom, I. R. of Iran

2 Department of Mathematics and Computer Science, Arak University, Arak, I. R. of Iran

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.

Keywords

Iranian Journal of Science
Volume 33, Issue 3 - Serial Number 3
September and October 2009
Pages 241-248

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