arXiv:1911.07476 Abstract | arXiv Analytics

arXiv:1911.07476 [math.DG]Abstract References Reviews Resources

An Algebraic Characterisation for Finsler Metrics of Constant Flag Curvature

Published 2019-11-18Version 1

In this paper we prove that a Finsler metrics has constant flag curvature if and only if the curvature of the induced nonlinear connection satisfies an algebraic identity with respect to some arbitrary second rank tensors. Such algebraic identity appears as an obstruction to the formal integrability of some operators in Finsler geometry, [4,7]. This algebraic characterisation for Finsler metrics of constant flag curvature allows to provide yet another proof for the Finslerian version of Beltrami's Theorem, [2,3].

Categories: math.DG

Subjects: 53C60, 53B40, 58B20

Keywords: constant flag curvature, finsler metrics, algebraic characterisation, arbitrary second rank tensors, induced nonlinear connection satisfies

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