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Levy Laplacian on manifold and heat flows of differential forms

Volkov, Boris
arXiv (All) · Papers
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53c07differential-geometryfunctional-analysismathematical-physics
The Levy Laplacian is an infinite-dimensional differential operator, which is interesting for its connection with the Yang-Mills gauge fields. The article proves the equivalence of various definitions of the Levy Laplacian on the manifold of $H^1$-paths on a Riemannian manifold. The heat equation wi
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