Abstract
These notes form a fairly standard introduction to Wiener integration on ℝn and on Riemannian manifolds. Feynman path integrals for non-relativistic quantum mechanics are also considered and compared to Wiener integrals. The basic approach is via cylinder set measures, Gaussian measures, and abstract Wiener spaces.
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Elworthy, K.D. (1984). Path Integration on Manifolds. In: Seifert, HJ., Clarke, C.J.S., Rosenblum, A. (eds) Mathematical Aspects of Superspace. NATO ASI Series, vol 132. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6446-4_3
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