Comparing heat operators through local isometries or fibrations
Manlio Bordoni (2000)
Bulletin de la Société Mathématique de France
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Manlio Bordoni (2000)
Bulletin de la Société Mathématique de France
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Daniel W. Stroock (1995)
Journées équations aux dérivées partielles
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Zayed, E.M.E. (1997)
International Journal of Mathematics and Mathematical Sciences
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Peter B. Gilkey, John V. Leahy, Jeong Hyeong Park (1997)
Zbornik Radova
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M. F. Atiyah (1973-1974)
Séminaire Bourbaki
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Thierry Coulhon (1996-1997)
Séminaire de théorie spectrale et géométrie
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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 isoperimetric profile. The main point is to connect the decay of the norm of the heat semigroup with some adapted Nash or Faber-Krahn inequalities, which is done by functional analytic methods....
S. Gallot, G. Besson, P. Bérard (1994)
Geometric and functional analysis
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