Approximation Schemes for Path Integration on Riemannian Manifolds

Juan Carlos Sampedro

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arXiv · 2106.13905

Approximation Schemes for Path Integration on Riemannian Manifolds

Juan Carlos Sampedro

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Abstract

In this paper, we prove a finite dimensional approximation scheme for the Wiener measure on closed Riemannian manifolds, establishing a generalization for $L^{1}$-functionals, of the approach followed by Andersson and Driver on [1]. We follow a new approach motived by categorical concept of colimit.

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Juan Carlos Sampedro. 2021-06-25. Approximation Schemes for Path Integration on Riemannian Manifolds. https://arxiv.org/abs/2106.13905

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