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IHEP 96 - 110
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| S.N. Storchak | ||
| Path Integrals on Manifold with Group Action | ||
| Protvino, 1996.- p.11, refs.:15. | ||
By using the methods of the stochastic process theory, the reduction procedure in the Viener path integrals for a scalar particle motion on a Riemannian compact manifold with a free effective group action 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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