Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds

Xavier Ramos Olivé, Shoo Seto, Malik Tuerkoen

We prove sharp spectral gap estimates on compact manifolds with integral curvature bounds. We generalize the results of Kröger (Kröger '92) as well as of Bakry and Qian (Bakry-Qian…