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- W2911900016 abstract "In Theorem 3.1, a Finslerian extension of Schur's Lemma that includes dimension 2 as well, we provide three necessary and sufficient conditions (CC-conditions) for a Finsler space to be of constant flag curvature. Depending on the dimension of the manifold, one of these three CC-conditions is automatically satisfied. First and third CC-conditions are projectively invariant and they have Riemannian correspondents. Third CC-condition is given by a projectively invariant 2-form that plays the role of Cotton (Liouville) tensor. The second CC-condition is purely Finslerian and it is projectively invariant if and only if the projective factor is a Hamel function. This condition restricts the validity of the Beltrami Theorem in the Finslerian context. Theorem 3.3 represents the Finslerian version of Beltrami's Theorem that includes dimension 2 and extends a previous version valid in dimension greater than 2, [3, Theorem 5.2]." @default.
- W2911900016 created "2019-02-21" @default.
- W2911900016 creator A5039771218 @default.
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- W2911900016 date "2019-02-14" @default.
- W2911900016 modified "2023-09-27" @default.
- W2911900016 title "Finsler spaces of constant flag curvature and their projective geometry" @default.
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