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 Tr. Mat. Inst. Steklova, Forthcoming paper (Mi tm4032)

On Maxwell's equations with a magnetic monopole on manifolds

I. V. Volovich, V. V. Kozlov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: A generalization of the Maxwell equations on a pseudo-Riemannian manifold $M$ of arbitrary dimension in the presence of electric and magnetic charges is considered. It is proved that if the cohomology groups $H ^ 2 (M) = H ^ 3 (M) = 0,$ then solving these equations reduces to solving the D'Alembert - Hodge equation.

UDC: 514.764.2+537.8
Revised: May 17, 2019
Accepted: June 10, 2019