Left invariant Randers metrics on the 3-dimensional Heisenberg group
Differential Geometry
2015-11-18 v2
Abstract
In the previous paper [MR2430243] we computed some geometric quantities such as curvature and flag curvature for a general left invariant Finsler metric on a two-step nilpotent group. In the present paper we give a more complete description of the Chern--Rund connection defined by a left invariant Randers metric on the 3 dimensional Heisenberg group.
Keywords
Cite
@article{arxiv.1310.7306,
title = {Left invariant Randers metrics on the 3-dimensional Heisenberg group},
author = {A. Lengyelné Tóth and Z. Kovács},
journal= {arXiv preprint arXiv:1310.7306},
year = {2015}
}
Comments
A section 'The flag curvature of left invariant Randers metrics on 3-dimensional Heisenberg group' was added. Two new references were added. Some misprints in (13), (14) and in the proof of Corollary 3.8. were corrected