Diffusion determines the manifold

作者：Arendt W^*; Biegert M; ter Elst A F M

来源：Journal fur die Reine und Angewandte Mathematik, 2012, 667: 1-25.

DOI：10.1515/CRELLE.2011.131

We prove under a weak smoothness condition that two Riemannian manifolds are isomorphic if and only if there exists an order isomorphism which intertwines with the Dirichlet type heat semigroups on the manifolds.

• 出版日期2012-6