Dimensions at infinity for Riemannian manifolds

DOI10.1007/BF01053451zbMath0847.53022OpenAlexW4252009510WikidataQ115394550 ScholiaQ115394550MaRDI QIDQ1902482

Thierry Coulhon

Publication date: 1 February 1996

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01053451

zbMATH Keywords

volume growthPoincaré inequalitiesglobal inequalitiesmanifolds of polynomial growthSobolev inequalities on manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (6)

On-diagonal lower bounds for heat kernels and Markov chains ⋮ A note on Coulhon type inequalities ⋮ Heat kernel and Riesz transform of Schrödinger operators ⋮ Random walks among time increasing conductances: heat kernel estimates ⋮ A note on Sobolev type inequalities on graphs with polynomial volume growth ⋮ Heat kernel on manifolds with ends

Cites Work

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• Puissances d'un opérateur régularisant. (Powers of a regularizing operator)
• Isoperimetric inequalities and Markov chains
• Hardy-Littlewood theory for semigroups
• Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
• Parabolic and hyperbolic infinite networks
• Isoperimetricity for groups and manifolds
• Lower bounds for one-dimensional Markov chains
• Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample
• Noyau de la chaleur et discrétisation d'une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold)
• Ultracontractivity and Nash type inequalities
• Isometric Riemannian manifolds at infinity
• On global Sobolev inequalities

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