Finsler surfaces with prescribed geodesics

Autor:	Álvarez-Paiva, Juan-Carlos, Berck, Gautier
Rok vydání:	2010
Předmět:	Mathematics - Differential Geometry Mathematics - Metric Geometry 53C65 53C60 53C22
Druh dokumentu:	Working Paper
Popis:	We construct all Finsler metrics on the two-sphere for which geodesics are circles and show that any (reversible) path geometry on a two-dimensional manifold is locally the system of geodesics of a Finsler metric. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1002.0243 Zobrazit plný text záznamu View this record from Arxiv