On Finsler surfaces of constant flag curvature with a Killing field
Abstract
© 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 .
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https://hdl.handle.net/10161/15692Published Version (Please cite this version)
10.1016/j.geomphys.2017.02.012Publication Info
(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.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Robert Bryant
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
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