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arXiv · 2605.31223

A Dynkin condition for manifolds with boundary

Marie Bormann·David Tewodrose
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Abstract

We propose a Dynkin-type condition for smooth Riemannian manifolds with boundary. We show that this condition implies bi-Lipschitz equivalence with a Bakry-\'Emery weighted Riemannian manifold obtained via a time change. As a consequence, we obtain various results, including a local doubling property as well as lower bounds on the Neumann spectral gap and logarithmic Sobolev constant. The local doubling property also yields a new precompactness theorem for manifolds with boundary.

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Marie Bormann, David Tewodrose. 2026-05-29. A Dynkin condition for manifolds with boundary. https://arxiv.org/abs/2605.31223

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