Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds

Xavier Ramos Olivé; Shoo Seto; Malik Tuerkoen

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arXiv · 2510.27083

Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds

Xavier Ramos Olivé·Shoo Seto·Malik Tuerkoen

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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).

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Xavier Ramos Olivé, Shoo Seto, Malik Tuerkoen. 2025-10-31. Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds. https://arxiv.org/abs/2510.27083

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