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On Finsler surfaces of constant flag curvature with a Killing field

Publication ,  Journal Article
Bryant, RL; Huang, L; Mo, X
Published in: Journal of Geometry and Physics
June 1, 2017

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.

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Published In

Journal of Geometry and Physics

DOI

ISSN

0393-0440

Publication Date

June 1, 2017

Volume

116

Start / End Page

345 / 357

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Bryant, R. L., Huang, L., & Mo, X. (2017). On Finsler surfaces of constant flag curvature with a Killing field. Journal of Geometry and Physics, 116, 345–357. https://doi.org/10.1016/j.geomphys.2017.02.012
Bryant, R. L., L. Huang, and X. Mo. “On Finsler surfaces of constant flag curvature with a Killing field.” Journal of Geometry and Physics 116 (June 1, 2017): 345–57. https://doi.org/10.1016/j.geomphys.2017.02.012.
Bryant RL, Huang L, Mo X. On Finsler surfaces of constant flag curvature with a Killing field. Journal of Geometry and Physics. 2017 Jun 1;116:345–57.
Bryant, R. L., et al. “On Finsler surfaces of constant flag curvature with a Killing field.” Journal of Geometry and Physics, vol. 116, June 2017, pp. 345–57. Scopus, doi:10.1016/j.geomphys.2017.02.012.
Bryant RL, Huang L, Mo X. On Finsler surfaces of constant flag curvature with a Killing field. Journal of Geometry and Physics. 2017 Jun 1;116:345–357.
Journal cover image

Published In

Journal of Geometry and Physics

DOI

ISSN

0393-0440

Publication Date

June 1, 2017

Volume

116

Start / End Page

345 / 357

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences