A Dynkin condition for manifolds with boundary
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911732083982336 |
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| author | Bormann, Marie Tewodrose, David |
| author_facet | Bormann, Marie Tewodrose, David |
| contents | We propose a Dynkin-type condition for smooth Riemannian manifolds with boundary. We show that this condition implies bi-Lipschitz equivalence with a Bakry-Émery 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_31223 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Dynkin condition for manifolds with boundary Bormann, Marie Tewodrose, David Differential Geometry Analysis of PDEs We propose a Dynkin-type condition for smooth Riemannian manifolds with boundary. We show that this condition implies bi-Lipschitz equivalence with a Bakry-Émery 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. |
| title | A Dynkin condition for manifolds with boundary |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2605.31223 |