Diffusion determines the compact manifold
Banach Center Publications 112 (2017)
MSC: 58J53, 35P05, 47F05, 35R30.
DOI: 10.4064/bc112-0-1
Abstract
We provide a short proof for the theorem that two compact Riemannian manifolds are isometric if and only there exists an order isomorphism which intertwines between the heat semigroups on the manifolds.
