Comparing heat operators through local isometries or fibrations

DOI10.24033/bsmf.2366zbMath0968.58021OpenAlexW2584420669MaRDI QIDQ4486436

Manlio Bordoni

Publication date: 27 June 2000

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_2000__128_2_151_0

zbMATH Keywords

capacityheat kernelRiemannian submersionsKato's inequalitylocal isometryRiemannian coverings

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Singular Weyl’s law with Ricci curvature bounded below ⋮ The Feller property on Riemannian manifolds ⋮ Coverings and the heat equation on graphs: Stochastic incompleteness, the Feller property, and uniform transience

Cites Work

• Heat semigroup on a complete Riemannian manifold
• Eigenvalue estimates with applications to minimal surfaces
• A Kato type inequality for Riemannian submersions with totally geodesic fibers
• Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds
• Laplacians and Riemannian submersions with totally geodesic fibres
• Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds
• Heat kernel bounds, conservation of probability and the Feller property
• Spectrum of manifolds with holes
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On a martingale method for symmetric diffusion processes and its applications
• The conservation property of the heat equation on riemannian manifolds
• Curvature, geodesics and the Brownian motion on a Riemannian manifold II—Explosion properties
• A lower bound for the heat kernel
• Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
• Riemannian geometry
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