Conditioned Brownian motion confined to a shrinking tube around a submanifold converges weakly to a Feynman-Kac-type Wiener measure on the submanifold, now proved for general Riemannian manifolds.
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A Sub-Gaussian estimate for Dirichlet Heat Kernels on Tubular Neighbourhoods and Tightness of Conditional Brownian Motion
Conditioned Brownian motion confined to a shrinking tube around a submanifold converges weakly to a Feynman-Kac-type Wiener measure on the submanifold, now proved for general Riemannian manifolds.