Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature condition

DOI10.1007/S11118-022-10062-5arXiv2108.07096OpenAlexW3194068446MaRDI QIDQ6120812

Ling Wu, Meng Zhu, Xingyu Song

Publication date: 21 February 2024

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

Full work available at URL: https://arxiv.org/abs/2108.07096

zbMATH Keywords

isoperimetric constantLaplacianeigenvalue estimateBakry-Émery Ricci curvatureLaplace-Beltrami

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heat kernel on smooth metric measure spaces and applications
• Upper bounds on the first eigenvalue for a diffusion operator via Bakry-Émery Ricci curvature. II
• Eigenvalues of perturbed Laplace operators on compact manifolds
• Lower diameter bounds for compact shrinking Ricci solitons
• Analysis of weighted Laplacian and applications to Ricci solitons
• Regularity of Kähler-Ricci flows on Fano manifolds
• Rigidity of manifolds with Bakry-Émery Ricci curvature bounded below
• On the parabolic kernel of the Schrödinger operator
• Eigenvalue estimates for the weighted Laplacian on a Riemannian manifold
• General formula for lower bound of the first eigenvalue on Riemannian manifolds
• Some new results on eigenvectors via dimension, diameter, and Ricci curvature
• Convergence of Ricci flows with bounded scalar curvature
• Estimates of the first Dirichlet eigenvalue by using diffusion processes
• Gradient and eigenvalue estimates on the canonical bundle of Kähler manifolds
• Compactness of Kähler-Ricci solitons on Fano manifolds
• Space of Ricci flows. II. Part B: Weak compactness of the flows
• New volume comparison results and applications to degeneration of Riemannian metrics
• Bounds on harmonic radius and limits of manifolds with bounded Bakry-Émery Ricci curvature
• Eigenvalues of the Laplacian on a compact manifold with density
• Ricci curvature for metric-measure spaces via optimal transport
• Gradient estimate for eigenforms of Hodge Laplacian
• On the geometry of metric measure spaces. I
• On the geometry of metric measure spaces. II
• On the structure of Ricci shrinkers
• Eigenvalue Estimates on Bakry–Émery Manifolds
• A probabilistic approach to the first Dirichlet eigenvalue on non-compact Riemannian manifold
• Neumann isoperimetric constant estimate for convex domains
• Eigenvalue Comparison on Bakry-Emery Manifolds
• Geometric Analysis

This page was built for publication: Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature condition