Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups
Abstract
In this paper we classify all non-Berwaldian Randers metrics of Douglas type arising from invariant hyper-Hermitian metrics on simply connected four-dimensional real Lie groups. Also, the formulas of the flag curvature are given and it is shown that, in some directions, the flag curvature of the Randers metrics and the sectional curvature of the hyper-Hermitian metrics have the same sign.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2017
- DOI:
- 10.48550/arXiv.1702.07999
- arXiv:
- arXiv:1702.07999
- Bibcode:
- 2017arXiv170207999H
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematical Physics;
- 53C26;
- 53C60;
- 22E60
- E-Print:
- Rend. Circ. Mat. Palermo, II. Ser 67, 539-545 (2018)