Bottom Spectrum Estimate Under Curvature Integrability Condition
Differential Geometry
2025-07-01 v1
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.
Cite
@article{arxiv.2506.23997,
title = {Bottom Spectrum Estimate Under Curvature Integrability Condition},
author = {Cole Durham},
journal= {arXiv preprint arXiv:2506.23997},
year = {2025}
}
Comments
16 pages