On Finsler surfaces of constant flag curvature with a Killing field


Journal Article

© 2017 Elsevier B.V. We study two-dimensional Finsler metrics of constant flag curvature and show that such Finsler metrics that admit a Killing field can be written in a normal form that depends on two arbitrary functions of one variable. Furthermore, we find an approach to calculate these functions for spherically symmetric Finsler surfaces of constant flag curvature. In particular, we obtain the normal form of the Funk metric on the unit disk D2.

Full Text

Duke Authors

Cited Authors

  • Bryant, RL; Huang, L; Mo, X

Published Date

  • June 1, 2017

Published In

Volume / Issue

  • 116 /

Start / End Page

  • 345 - 357

International Standard Serial Number (ISSN)

  • 0393-0440

Digital Object Identifier (DOI)

  • 10.1016/j.geomphys.2017.02.012

Citation Source

  • Scopus