Levy Laplacians and instantons on manifolds

29 Sep 2019 Volkov Boris O.

The equivalence of the anti-selfduality Yang-Mills equations on the 4-dimensional orientable Riemannian manifold and Laplace equations for some infinite dimensional Laplacians is proved. A class of modificated Levy Laplacians parameterized by the choice of a curve in the group $SO(4)$ is introduced... (read more)

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  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS