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Multiply Transitive Lie Group of Transformations as a Physical Structure

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Abstract

We establish a connection between physical structures and Lie groups and prove that each physical structure of rank \((n+1,2)\), \(n\in \mathbb {N} \), on a smooth manifold is isotopic to an almost \(n \)-transitive Lie group of transformations. We also prove that each almost \(n\)-transitive Lie group of transformations is isotopic to a physical structure of rank \((n+1,2) \).

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  1. Gorno-Altaisk State University, Gorno-Altaisk, 649000, Russia

    V. A. Kyrov

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  1. V. A. Kyrov
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Kyrov, V.A. Multiply Transitive Lie Group of Transformations as a Physical Structure. Sib. Adv. Math. 32, 129–144 (2022). https://doi.org/10.1134/S1055134422020067

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