Math @ Duke

Publications [#8915] of Robert Bryant
search www.ams.org.Papers Published
 Finsler structures on the 2sphere satisfying K=1,
in Finsler geometry (Seattle, WA, 1995), Contemporary Mathematics, edited by David Bao, Shiingshen Chern and Zhongmin Shen, vol. 196
(1996),
pp. 27–41, Amer. Math. Soc., Providence, RI [MR97e:53128], [dvi]
(last updated on 2004/04/06)
Author's Comments: In this paper, I study the Finsler structures on the
2sphere whose
FinslerGauss curvature is identically 1. I show that
these structures
can be regarded as more classical geometric
structures on the `dual' 2sphere
of geodesics of the structure and use this fact to
construct explicit examples
that are not Riemannian.
A longer and more expository version of this article
is available he
re.


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