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Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus. (English) Zbl 0798.58080

The stochastic calculus of variation on the bundle of orthonormal frames and the Bismut connection are used for the definition of an intrinsic stochastic calculus on the Brownian flow of a compact Riemannian manifold.

MSC:

58J65 Diffusion processes and stochastic analysis on manifolds
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