Diffusion determines the compact manifold
classification
🧮 math.AP
math.DG
keywords
compactmanifoldsdeterminesdiffusionexistsheatintertwinesisomorphic
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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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