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ON THE PROJECTIVE ALGEBRA OF SOME (α, β)-METRICS OF ISOTROPIC S-CURVATURE
- Source :
- International Journal of Geometric Methods in Modern Physics. 10:1350048
- Publication Year :
- 2013
- Publisher :
- World Scientific Pub Co Pte Lt, 2013.
-
Abstract
- In this paper, we study projective algebra, p(M, F), of special (α, β)-metrics. The projective algebra of a Finsler space is a finite-dimensional Lie algebra with respect to the usual Lie bracket. We characterize p(M, F) of Matsumoto and square metrics of isotropic S-curvature of dimension n ≥ 3 as a certain Lie sub-algebra of the Killing algebra k(M, α). We also show that F has a maximum projective symmetry if and only if F either is a Riemannian metric of constant sectional curvature or locally Minkowskian.
Details
- ISSN :
- 17936977 and 02198878
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Accession number :
- edsair.doi...........f017cf3cd7e5173b1c8b4806bc9916dc