Diffusion determines the manifold

Details Diffusion determines the manifold Diffusion determines the manifold

2008-06-03

arxiv.org/abs/0806.0437v1

Mathematics

Analysis of PDEs

Scientific paper

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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