Bottom Spectrum Estimate Under Curvature Integrability Condition
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911029981609984 |
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| author | Durham, Cole |
| author_facet | Durham, Cole |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bottom Spectrum Estimate Under Curvature Integrability Condition Durham, Cole Differential Geometry 58J50 (Primary), 53C21 (Secondary) 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. |
| title | Bottom Spectrum Estimate Under Curvature Integrability Condition |
| topic | Differential Geometry 58J50 (Primary), 53C21 (Secondary) |
| url | https://arxiv.org/abs/2506.23997 |