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Finsleroids with three axes in dimension \(N=3\)

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Abstract

We study the dependence of three-axes positive-definite Finsleroid metric functions on the Finsleroid azimuthal angle \(\theta \) in the three-dimensional case, provided the condition of the angle-separation in the involved characteristic functions is fulfilled. The complete set of algebraic and differential equations characterizing the class of three-axes positive-definite Finsleroid metric functions is derived and explicit dependence of the involved characteristic functions on the angle \(\theta \) is obtained.

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  1. Division of Theoretical Physics, Moscow State University, GSP-1, 1-2 Leninskiye Gory, Moscow, Russia, 119991

    Gennadii S. Asanov

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  1. Gennadii S. Asanov
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Correspondence to Gennadii S. Asanov.

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Asanov, G.S. Finsleroids with three axes in dimension \(N=3\). European Journal of Mathematics 7, 416–433 (2021). https://doi.org/10.1007/s40879-019-00366-z

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  • DOI: https://doi.org/10.1007/s40879-019-00366-z

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