Spectral convergence under bounded Ricci curvature
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Publication:2361332
DOI10.1016/j.jfa.2017.05.009zbMath1368.53027arXiv1510.05349OpenAlexW2963603252MaRDI QIDQ2361332
Publication date: 30 June 2017
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.05349
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Lecture notes on differential calculus on \(\mathsf{RCD}\) spaces ⋮ Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ Recognizing the flat torus among \(\mathsf{RCD}^*(0,N)\) spaces via the study of the first cohomology group ⋮ Eigenvalue estimates and differential form Laplacians on Alexandrov spaces ⋮ Analytic torsion for log-Enriques surfaces and Borcherds product ⋮ Ricci curvature and orientability ⋮ The spectrum of continuously perturbed operators and the Laplacian on forms ⋮ Lichnerowicz-Obata estimate, almost parallel \(p\)-form and almost product manifolds ⋮ Sphere theorems and eigenvalue pinching without positive Ricci curvature assumption
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