{ "id": "math/0311233", "version": "v1", "published": "2003-11-14T04:25:55.000Z", "updated": "2003-11-14T04:25:55.000Z", "title": "Zermelo navigation on Riemannian manifolds", "authors": [ "David Bao", "Colleen Robles", "Zhongmin Shen" ], "categories": [ "math.DG" ], "abstract": "In this paper, we study Zermelo navigation on Riemannian manifolds and use that to solve a long standing problem in Finsler geometry. Namely, the complete classification of strongly convex Randers metrics of constant flag curvature.", "revisions": [ { "version": "v1", "updated": "2003-11-14T04:25:55.000Z" } ], "analyses": { "keywords": [ "riemannian manifolds", "strongly convex randers metrics", "study zermelo navigation", "constant flag curvature", "complete classification" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....11233B" } } }