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 e-prints
- Pub Date:
- October 2019
- arXiv:
- arXiv:1910.02541
- Bibcode:
- 2019arXiv191002541B
- Keywords:
-
- Mathematics - Differential Geometry