{ "id": "1310.7306", "version": "v1", "published": "2013-10-28T03:56:39.000Z", "updated": "2013-10-28T03:56:39.000Z", "title": "Left invariant Randers metrics on 3-dimensional Heisenberg group", "authors": [ "A. Lengyelné Tóth", "Z. Kovács" ], "categories": [ "math.DG" ], "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.", "revisions": [ { "version": "v1", "updated": "2013-10-28T03:56:39.000Z" } ], "analyses": { "subjects": [ "53B40" ], "keywords": [ "left invariant randers metric", "general left invariant finsler metric", "dimensional heisenberg group", "two-step nilpotent group" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.7306L" } } }