Math @ Duke

Publications [#325462] of Robert Bryant
search www.ams.org.Papers Published
 Bryant, RL; Huang, L; Mo, X, On Finsler surfaces of constant flag curvature with a Killing field,
Journal of Geometry and Physics, vol. 116
(June, 2017),
pp. 345357, Elsevier BV [doi]
(last updated on 2019/05/20)
Abstract: © 2017 Elsevier B.V. We study twodimensional 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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