{ "id": "1305.5880", "version": "v2", "published": "2013-05-25T02:23:34.000Z", "updated": "2014-01-06T06:32:22.000Z", "title": "Metric structures associated to Finsler metrics", "authors": [ "Sorin V. Sabau", "Kazuhiro Shibuya", "Hideo Shimada" ], "categories": [ "math.DG" ], "abstract": "We investigate the relation between weighted quasi-metric Spaces and Finsler Spaces. We show that the induced metric of a Randers space with reversible geodesics is a weighted quasi-metric space.", "revisions": [ { "version": "v2", "updated": "2014-01-06T06:32:22.000Z" } ], "analyses": { "subjects": [ "53C60", "53C22" ], "keywords": [ "metric structures", "finsler metrics", "weighted quasi-metric space", "finsler spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.5880S" } } }