Upper bounds on the first eigenvalue for a diffusion operator via Bakry-Émery Ricci curvature. II

DOI10.1007/s00025-012-0254-xzbMath1303.58011arXiv1010.4175OpenAlexW3105372008MaRDI QIDQ351107

Jia-Yong Wu

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4175

zbMATH Keywords

gradient estimateeigenvalue estimateRicci solitondiffusion operatorBakry-Émery curvature

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (14)

Heat kernel on smooth metric measure spaces and applications ⋮ Gradient estimates for a nonlinear parabolic equation with Dirichlet boundary condition ⋮ ESTIMATES FOR THE EIGENVALUES OF THE DRIFTING LAPLACIAN ON SOME COMPLETE RICCI SOLITONS ⋮ Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature condition ⋮ Liouville-type theorems on the complete gradient shrinking Ricci solitons ⋮ Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications ⋮ \(L^p\)-Liouville theorems on complete smooth metric measure spaces ⋮ Eigenvalues of Witten-Laplacian on the cigar metric measure spaces ⋮ Global lower bounds on the first eigenvalue for a diffusion operator ⋮ Counting ends on complete smooth metric measure spaces ⋮ CR gradient estimate for the positive eigenfunction of Witten sub-Laplacian ⋮ Leaps and bounds towards scale separation ⋮ Estimates for the eigenvalues of the bi-drifting Laplacian on cigar soliton ⋮ Eigenvalues of the drifting Laplacian on smooth metric measure spaces

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