Classes of Maxwell spaces that admit subgroups of the Poincar\'e group

M. A. Parinov

Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 1, pp. 183-237.

Résumé

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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