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arXiv · 2506.23997

Bottom Spectrum Estimate Under Curvature Integrability Condition

Cole Durham
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Abstract

In this paper we prove an upper bound for the bottom of the spectrum of the Laplacian on manifolds with Ricci curvature bounded in integral sense. Our arguments rely on the existence of a minimal positive Green's function and its properties.

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Cole Durham. 2025-06-30. Bottom Spectrum Estimate Under Curvature Integrability Condition. https://arxiv.org/abs/2506.23997

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