A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature

DOI10.1007/s11118-011-9251-zzbMath1257.58016arXiv1010.5853OpenAlexW2002818298MaRDI QIDQ438671

Alice Vatamanelu, Fabrice Baudoin

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/1010.5853

zbMATH Keywords

positive Ricci curvatureNeumann heat kernelLi-Yau type estimates

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (4)

Eigenvalue Estimates on Bakry–Émery Manifolds ⋮ Geometric Inequalities on Riemannian and Sub-Riemannian Manifolds by Heat Semigroups Techniques ⋮ Revisiting Li-Yau type inequalities on Riemannian manifolds ⋮ Remarks on differential Harnack inequalities

Cites Work

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• Perelman's entropy and doubling property on Riemannian manifolds
• Gradient and Harnack inequalities on noncompact manifolds with boundary
• A logarithmic Sobolev form of the Li-Yau parabolic inequality
• On the parabolic kernel of the Schrödinger operator
• Lower bounds for the eigenvalues of Riemannian manifolds
• Eigenvalue comparison theorems and its geometric applications
• Harnack inequalities on a manifold with positive or negative Ricci curvature
• A gradient estimate on a manifold with convex boundary
• Diffusion processes with boundary conditions

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