Diffusion determines the manifold
classification
🧮 math.AP
keywords
manifoldconditiondeterminesdiffusiondirichletexistsheatintertwines
read the original 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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