ON A SPECIAL CLASS OF FINSLER METRICS

Document Type: Regular Paper

Authors

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

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

Abstract

In this paper, we study projective Randers change and C-conformal change of P-reducible
metrics. Then we show that every P-reducible generalized Landsberg metric of dimension n  2 must be a
Landsberg metric. This implies that on Randers manifolds the notions of generalized Landsberg metric and
Berwald metric are equivalent.

Keywords