A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on Kähler Hyperbolic Manifolds and its Applications
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914340059217920 |
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| author | Cho, Ye-Won Luke Choi, Young-Jun Lee, Kang-Hyurk |
| author_facet | Cho, Ye-Won Luke Choi, Young-Jun Lee, Kang-Hyurk |
| contents | In this paper, we establish a sharp lower bound for the spectrum of the Hodge Laplacian on Kähler hyperbolic manifolds. This bound is expressed explicitly in terms of the supremum norm of the 1-form associated with the Kähler hyperbolic structure. As an application, we obtain explicit spectral lower bounds for bounded symmetric domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18353 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on Kähler Hyperbolic Manifolds and its Applications Cho, Ye-Won Luke Choi, Young-Jun Lee, Kang-Hyurk Differential Geometry Complex Variables 58J50, 32Q15, 53C55, 32M15 In this paper, we establish a sharp lower bound for the spectrum of the Hodge Laplacian on Kähler hyperbolic manifolds. This bound is expressed explicitly in terms of the supremum norm of the 1-form associated with the Kähler hyperbolic structure. As an application, we obtain explicit spectral lower bounds for bounded symmetric domains. |
| title | A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on Kähler Hyperbolic Manifolds and its Applications |
| topic | Differential Geometry Complex Variables 58J50, 32Q15, 53C55, 32M15 |
| url | https://arxiv.org/abs/2602.18353 |