Non-existence of Funk functions for Finsler spaces of non-vanishing scalar flag curvature
| Autor: | Bucataru, Ioan, Muzsnay, Zoltán |
|---|---|
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Comptes rendus - Math\'ematique 354 (2016), pp. 619-622 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.crma.2016.04.001 |
| Popis: | In his book "Differential Geometry of Spray and Finsler spaces", page 177, Zhongmin Shen asks "wether or not there always exist non-trivial Funk functions on a spray space". In this note, we will prove that the answer is negative for the geodesic spray of a finslerian function of non-vanishing scalar flag curvature. Comment: 4 pages, accepted by CRMATHEMATIQUE |
| Databáze: | arXiv |
| Externí odkaz: |
|