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
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.
Received: April 26, 2019
Revised: May 17, 2019
Accepted: June 10, 2019
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