Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds
Differential Geometry
2026-05-28 v2 Analysis of PDEs
Spectral Theory
Abstract
We prove sharp spectral gap estimates on compact manifolds with integral curvature bounds. We generalize the results of Kr\"oger (Kr\"oger '92) as well as of Bakry and Qian (Bakry-Qian '00) to the case of integral curvature and confirm the conjecture in (Ramos et al. '20).
Cite
@article{arxiv.2510.27083,
title = {Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds},
author = {Xavier Ramos Olivé and Shoo Seto and Malik Tuerkoen},
journal= {arXiv preprint arXiv:2510.27083},
year = {2026}
}
Comments
15 pages