Convergence to the product of the standard spheres and eigenvalues of the Laplacian
From MaRDI portal
Publication:2023419
DOI10.3842/SIGMA.2021.017zbMath1467.53036arXiv2007.07491MaRDI QIDQ2023419
Publication date: 3 May 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07491
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Heat kernel bounds on metric measure spaces and some applications
- Local Poincaré inequalities from stable curvature conditions on metric spaces
- Well-posedness of Lagrangian flows and continuity equations in metric measure spaces
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- Ricci curvature and \(L^{p}\)-convergence
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- A new Lichnerowicz-Obata estimate in the presence of a parallel \(p\)-form
- Obata's rigidity theorem for metric measure spaces
- Ricci curvature and almost spherical multi-suspension
- Differentiability of Lipschitz functions on metric measure spaces
- On the structure of spaces with Ricci curvature bounded below. I
- On the structure of spaces with Ricci curvature bounded below. III
- Recognizing the flat torus among \(\mathsf{RCD}^*(0,N)\) spaces via the study of the first cohomology group
- On eigenvalue pinching in positive Ricci curvature
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
- Convergence to the product of the standard spheres and eigenvalues of the Laplacian
- The globalization theorem for the curvature-dimension condition
- Lectures on nonsmooth differential geometry
- Cones over metric measure spaces and the maximal diameter theorem
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Riemannian Geometry
- Sobolev met Poincaré
- Lecture notes on the DiPerna–Lions theory in abstract measure spaces
- Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below
- New stability results for sequences of metric measure spaces with uniform Ricci bounds from below
- Pincement sur le spectre et le volume en courbure de Ricci positive
