Local Poincaré inequalities in non-negative curvature and finite dimension

DOI10.1016/S0022-1236(02)00028-9zbMath1019.58011OpenAlexW2082806189MaRDI QIDQ1868679

Grégory Scheffer

Publication date: 28 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00028-9

zbMATH Keywords

Riemannian manifoldcurvaturePoincaré inequalityMarkov kernel

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Nonlinear elliptic equations (35J60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Transition functions, generators and resolvents (60J35)

Related Items (3)

A logarithmic Sobolev form of the Li-Yau parabolic inequality ⋮ A family of Beckner inequalities under various curvature-dimension conditions ⋮ \(\Phi\)-entropy inequalities and asymmetric covariance estimates for convex measures

Cites Work

• Lectures on hyperbolic geometry
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