arXiv:1310.7306 Abstract | arXiv Analytics

arXiv:1310.7306 [math.DG]Abstract References Reviews Resources

Left invariant Randers metrics on 3-dimensional Heisenberg group

Published 2013-10-28Version 1

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.

Categories: math.DG

Subjects: 53B40

Keywords: left invariant randers metric, general left invariant finsler metric, dimensional heisenberg group, two-step nilpotent group

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