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Classes of Maxwell spaces that admit subgroups of the Poincaré group

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Abstract

A Maxwell space is a triple (M, g, F), where M is the four-dimensional Minkowski space or a domain in it, g is a pseudo-Euclidean metric on M, and F is a closed exterior 2-form on M. In this paper, we give an exhaustive description of classes of Maxwell spaces that admit subgroups of the Poincaré group. Representatives of all classes are constructed.

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Authors and Affiliations

  1. Ivanovo State University, Russia

    M. A. Parinov

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  1. M. A. Parinov
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Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 10, No. 1, Geometry of Integrable Models, 2004.

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Parinov, M.A. Classes of Maxwell spaces that admit subgroups of the Poincaré group. J Math Sci 136, 4419–4458 (2006). https://doi.org/10.1007/s10958-006-0235-2

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  • DOI: https://doi.org/10.1007/s10958-006-0235-2

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