Positive curvature property for sub-Laplacian on nilpotent Lie group of rank two

DOI10.1007/s11118-013-9332-2zbMath1286.60078arXiv1112.3402OpenAlexW1990699561WikidataQ115381423 ScholiaQ115381423MaRDI QIDQ380032

Bin Qian

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1112.3402

zbMATH Keywords

heat kernelnilpotent Lie groupssub-Laplaciangradient estimates\(\Gamma _{2}\) curvature

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Heat equation (35K05) Diffusion processes (60J60) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Asymptotic estimates on the time derivative of \(\Phi\)-entropy on Riemannian manifolds ⋮ Hamilton type gradient estimate for the sub-elliptic operators ⋮ Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups* ⋮ Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operators

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