On Finsler surfaces of constant flag curvature with a Killing field
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© 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 D 2 .
Published Version (Please cite this version)10.1016/j.geomphys.2017.02.012
Publication InfoBryant, Robert; Huang, L; & Mo, X (2017). On Finsler surfaces of constant flag curvature with a Killing field. Journal of Geometry and Physics, 116. pp. 345-357. 10.1016/j.geomphys.2017.02.012. Retrieved from https://hdl.handle.net/10161/15692.
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Phillip Griffiths Professor of Mathematics
My research concerns problems in the geometric theory of partial differential equations. More specifically, I work on conservation laws for PDE, Finsler geometry, projective geometry, and Riemannian geometry, including calibrations and the theory of holonomy. Much of my work involves or develops techniques for studying systems of partial differential equations that arise in geometric problems. Because of their built-in invariance properties, these systems often have specia