Comparing heat operators through local isometries or fibrations

Manlio Bordoni

Displaying similar documents to “Comparing heat operators through local isometries or fibrations”

Heat kernels on non-compact riemannian manifolds : a partial survey

Thierry Coulhon (1996-1997)

Séminaire de théorie spectrale et géométrie

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The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics

Peter Gilkey, J. H. Park (1999)

Czechoslovak Mathematical Journal

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Large time behaviour of heat kernels on non-compact manifolds: fast and slow decays

Thierry Coulhon (1998)

Journées équations aux dérivées partielles

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In this talk we shall present some joint work with A. Grigory’an. Upper and lower estimates on the rate of decay of the heat kernel on a complete non-compact riemannian manifold have recently been obtained in terms of the geometry at infinity of the manifold, more precisely in terms of a kind of $L^{2}$ isoperimetric profile. The main point is to connect the decay of the $L^{1} - L^{\infty}$ norm of the heat semigroup with some adapted Nash or Faber-Krahn inequalities, which is done by functional analytic methods....

Embedding Riemannian Manifolds by Their Heat Kernel.

S. Gallot, G. Besson, P. Bérard (1994)

Geometric and functional analysis

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An estimate on the hessian of the heat kernel

Daniel W. Stroock (1995)

Journées équations aux dérivées partielles

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Convergence of Riemannian manifolds and Laplace operators. I

Atsushi Kasue (2002)

Annales de l’institut Fourier

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We study the spectral convergence of compact Riemannian manifolds in relation with the Gromov-Hausdorff distance and discuss the geodesic distances and the energy forms of the limit spaces.