ON THE PROJECTIVE ALGEBRA OF SOME (α, β)-METRICS OF ISOTROPIC S-CURVATURE
2013 ◽
Vol 10
(10)
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pp. 1350048
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Keyword(s):
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.
2012 ◽
Vol 09
(04)
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pp. 1250034
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Keyword(s):
2007 ◽
Vol 5
◽
pp. 195-200
2013 ◽
Vol 89
(2)
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pp. 234-242
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2016 ◽
Vol 2016
(716)
◽
Keyword(s):
2007 ◽
Vol 17
(03)
◽
pp. 527-555
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Keyword(s):