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Diffusion determines the manifold
-
W. Arendt
,
M. Biegert
Published/Copyright:
August 28, 2011
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.
Received: 2008-01-31
Revised: 2010-11-22
Published Online: 2011-08-28
Published in Print: 2012-06
©[2012] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Diffusion determines the manifold
- Semicomplete meromorphic vector fields on complex surfaces
- Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities
- Almost prime Pythagorean triples in thin orbits
- Hessian inequalities and the fractional Laplacian
- Connected sums of Gorenstein local rings
- The restricted Weyl group of the Cuntz algebra and shift endomorphisms
- Braided cofree Hopf algebras and quantum multi-brace algebras
- Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds
