FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 177-225

Classification of potential structures on the Minkowski space with respect to subgroups of the Poincaré group

M. A. Parinov

Abstract

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We obtain a complete description of the potential structures (covector fields) on the Minkowski space that admit subgroups of the Poincaré group. Seven classes of the Maxwell spaces that admit subgroups of the Poincaré group are described.

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