Diffusion determines the manifold
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Diffusion determines the manifold
Arendt, W
;
Biegert, M
;
ter Elst, Antonius
Identifier:
http://hdl.handle.net/2292/26124
Issue Date:
2012
Reference:
Journal für die reine und angewandte Mathematik (Crelle's Journal), 2012, 667 pp. 1 - 25
Rights:
Copyright: De Gruyter
Rights (URI):
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm
Abstract:
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.
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DOI:
10.1515/CRELLE.2011.131
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