Finsler metrics that are both Douglas and generalized Berwald in dimension two
Abstract
We proof that in dimension two, a Finsler metric is Douglas and generalized Berwald, if and only if it is Berwald or a Randers metric $\alpha + \beta$, where $\beta$ is closed and is of constant length with respect to $\alpha$.
 Publication:

arXiv eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.02541
 Bibcode:
 2019arXiv191002541B
 Keywords:

 Mathematics  Differential Geometry