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Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds

Published 31 Oct 2025 in math.DG, math.AP, and math.SP | (2510.27083v1)

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) for the case $n \geq 3$.

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