Diffusion determines the compact manifold
Analysis of PDEs
2011-04-07 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.1104.1012,
title = {Diffusion determines the compact manifold},
author = {W. Arendt and A. F. M. ter Elst},
journal= {arXiv preprint arXiv:1104.1012},
year = {2011}
}