Manifolds with bounded integral curvature and no positive eigenvalue lower bounds

zbMath1503.58012arXiv2103.11970MaRDI QIDQ5045927

Kamryn Spinelli, Xavier Ramos Olivé, Connor C. Anderson

Publication date: 8 November 2022

Full work available at URL: https://arxiv.org/abs/2103.11970

zbMATH Keywords

Laplace eigenvalue

Mathematics Subject Classification ID

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

Cites Work

• Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
• The intrinsic flat distance between Riemannian manifolds and other integral current spaces
• Estimate of the first eigenvalue for a compact Riemann manifold
• On the spectral gap for compact manifolds
• General formula for lower bound of the first eigenvalue on Riemannian manifolds
• Relative volume comparison with integral curvature bounds
• On the structure of spaces with Ricci curvature bounded below. III
• Local Sobolev constant estimate for integral Ricci curvature bounds
• Comparison geometry for integral Bakry-Émery Ricci tensor bounds
• Integral curvature bounds, distance estimates and applications
• Zhong-Yang type eigenvalue estimate with integral curvature condition
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• An alternative proof of lower bounds for the first eigenvalue on manifolds
• A Remark on Zhong-Yang's Eigenvalue Estimate
• Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Manifolds with bounded integral curvature and no positive eigenvalue lower bounds