FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 1, PAGES 183-237

Classes of Maxwell spaces that admit subgroups of the Poincaré group

M. A. Parinov

Abstract

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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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Last modified: October 25, 2004