Characterization of pinched Ricci curvature by functional inequalities

DOI10.1007/s12220-017-9905-1zbMath1405.60121arXiv1611.02160OpenAlexW2557170626WikidataQ125936297 ScholiaQ125936297MaRDI QIDQ1710258

Li-Juan Cheng, Anton Thalmaier

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02160

zbMATH Keywords

gradient estimatecurvatureRicci flowlog-Sobolev inequalityevolving manifold

Mathematics Subject Classification ID

Related Items (8)

Characterizations of the upper bound of Bakry-Emery curvature ⋮ Rigidity of cones with bounded Ricci curvature ⋮ Spectral gap on Riemannian path space over static and evolving manifolds ⋮ Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms ⋮ Sharp logarithmic Sobolev inequalities along an extended Ricci flow and applications ⋮ Functional inequalities on path space of sub-Riemannian manifolds and applications ⋮ Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry ⋮ A Bochner formula on path space for the Ricci flow

Cites Work

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• Spectral gap on Riemannian path space over static and evolving manifolds
• Characterizations of the Ricci flow
• Diffusion semigroup on manifolds with time-dependent metrics
• Functional inequality on path space over a non-compact Riemannian manifold
• Analysis for Diffusion Processes on Riemannian Manifolds
• Transport inequalities, gradient estimates, entropy and Ricci curvature
• Ricci Curvature and Bochner Formulas for Martingales

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