Abstract
A new path integral measure factorization method is proposed. By using this method the reduction procedure in Wiener path integrals for a scalar particle on a smooth compact Riemannian manifold with the given free isometric action of the compact semisimple unimodular Lie group is considered. It is shown that the path integral measure is not invariant under the reduction. The integral relation between path integrals representing the fundamental solutions of the parabolic equations on initial and reduced manifolds is derived.
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