On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups
Abstract
In this paper we identify all simply connected 3-dimensional real Lie groups which admit Randers or Matsumoto metrics of Berwald type with a certain underlying left invariant Riemannian metric. Then we give their flag curvatures formulas explicitly.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.5997
- arXiv:
- arXiv:1305.5997
- Bibcode:
- 2013arXiv1305.5997S
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematical Physics;
- 22E60;
- 53C60
- E-Print:
- Monatshefte fur Mathematik, Volume 177, Issue 4 , pp 649-658, 2015