Projectively flat Finsler 2-spheres of constant curvature
| dc.creator | Bryant, Robert L. | |
| dc.date | 1996-11-25 | |
| dc.date.accessioned | 2026-07-07T09:12:55Z | |
| dc.date.available | 2026-07-07T09:12:55Z | |
| dc.description | I classify the Finsler structures on the 2-sphere that have constant Finsler-Gauss curvature and whose geodesics are the great circles. Modulo diffeomorphism, there is a 2-parameter family of such Finsler structures, only one of which is homogeneous or symmetric, namely the Riemannian one. I discuss the history of the problem and its relation with Hilbert's Fourth Problem and the calculus of variations. | |
| dc.description | AMS-TeX v2.1, amsppt.sty (v. 2.1d), 38 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9611010 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9611010 | |
| dc.identifier | Selecta Mathematica (N. S.) 3 (1997), 161-203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152187 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C60 (Primary) 53A20 (Secondary) | |
| dc.title | Projectively flat Finsler 2-spheres of constant curvature | |
| dc.type | text |