On Randers spaces of constant flag curvature
Publication
, Journal Article
Bao, D; Robles, C
Published in: Reports on Mathematical Physics
January 1, 2003
This paper concerns a ubiquitous class of Finsler metrics on smooth manifolds of dimension n. These are the Randers metrics. They figure prominently in both the theory and the applications of Finsler geometry. For n ≥ 3, we consider only those with constant flag curvature. For n = 2, we focus on those whose flag curvature is a (possibly constant) function of position only. We characterize such metrics by three efficient conditions. With the help of examples in 2 and 3 dimensions, we deduce that the Yasuda-Shimada classification of Randers space forms actually addresses only a special case. The corrected classification for that special case is sharp, holds for n ≥ 2, and follows readily from our three necessary and sufficient conditions.
Duke Scholars
Published In
Reports on Mathematical Physics
DOI
ISSN
0034-4877
Publication Date
January 1, 2003
Volume
51
Issue
1
Start / End Page
9 / 42
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Bao, D., & Robles, C. (2003). On Randers spaces of constant flag curvature. Reports on Mathematical Physics, 51(1), 9–42. https://doi.org/10.1016/S0034-4877(03)80002-2
Bao, D., and C. Robles. “On Randers spaces of constant flag curvature.” Reports on Mathematical Physics 51, no. 1 (January 1, 2003): 9–42. https://doi.org/10.1016/S0034-4877(03)80002-2.
Bao D, Robles C. On Randers spaces of constant flag curvature. Reports on Mathematical Physics. 2003 Jan 1;51(1):9–42.
Bao, D., and C. Robles. “On Randers spaces of constant flag curvature.” Reports on Mathematical Physics, vol. 51, no. 1, Jan. 2003, pp. 9–42. Scopus, doi:10.1016/S0034-4877(03)80002-2.
Bao D, Robles C. On Randers spaces of constant flag curvature. Reports on Mathematical Physics. 2003 Jan 1;51(1):9–42.
Published In
Reports on Mathematical Physics
DOI
ISSN
0034-4877
Publication Date
January 1, 2003
Volume
51
Issue
1
Start / End Page
9 / 42
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences