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arXiv · 0806.0437

Diffusion determines the manifold

Wolfgang Arendt·Markus Biegert·A. F. M. ter Elst
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Abstract

We prove under a weak smoothness condition that two Riemannian manifold are isomorphic if and only there exists an order isomorphism which intertwines with the Dirichlet type heat semigroups on the manifolds.

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Wolfgang Arendt, Markus Biegert, A. F. M. ter Elst. 2008-06-03. Diffusion determines the manifold. https://arxiv.org/abs/0806.0437

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