pith. sign in

arxiv: 1712.07865 · v1 · pith:C4M7DQ2Znew · submitted 2017-12-21 · 🧮 math.DG

Some classes of projectively and dually flat Finsler spaces with Randers change

classification 🧮 math.DG
keywords metricsrandersalphabetachangeduallyfindflat
0
0 comments X
read the original abstract

In this paper, we consider Randers change of some special $ (\alpha, \beta)- $ metrics. First we find the fundamental metric tensor and Cartan tensor of these Randers changed $ (\alpha, \beta)- $metrics. Next, we establish a general formula for inverse of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which the Randers change of these $ (\alpha, \beta)- $ metrics are projectively and locally dually flat.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.