Modified Lévy Laplacian on manifold and Yang-Mills instantons

Abstract

An infinite dimensional Laplacian defined as the Cesáro mean of the second order directional derivatives on manifold is considered. This Laplacian is parameterized by the choice of a curve in the group of orthogonal rotations. It is shown that, under certain conditions on the curve, this operator is related to instantons on a 4-dimensional manifold.

14 pages, name changed, typos corrected

References in corpus (3)

• Levy Laplacian on manifold and Yang-Mills heat flow
• Levy Laplacians in Hida calculus and Malliavin calculus
• Levy Laplacians and instantons on manifolds