Diffusion determines the compact manifold

Details Diffusion determines the compact manifold Diffusion determines the compact manifold

2011-04-06

arxiv.org/abs/1104.1012v1

Mathematics

Analysis of PDEs

Scientific paper

We provide a short proof for the theorem that two compact Riemannian
manifolds are isomorphic if and only there exists an order isomorphism which
intertwines between the heat semigroups on the manifolds.

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