Math @ Duke
|
Publications [#8915] of Robert Bryant
search arxiv.org.Papers Published
- Finsler structures on the 2-sphere satisfying K=1,
in Finsler geometry (Seattle, WA, 1995), Contemporary Mathematics, edited by David Bao, Shiing-shen Chern and Zhongmin Shen, vol. 196
(1996),
pp. 2741, 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
2-sphere whose
Finsler-Gauss curvature is identically 1. I show that
these structures
can be regarded as more classical geometric
structures on the `dual' 2-sphere
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.
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|