First eigenvalue estimates on complete balanced Hermitian manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908624932044800 |
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| author | Zhang, Liangdi |
| author_facet | Zhang, Liangdi |
| contents | In analogy with classical results in Riemannian geometry, we establish estimates for the first eigenvalue of the Laplace-de Rham operator on complete balanced Hermitian manifolds in terms of either the holomorphic Ricci curvature or the holomorphic sectional curvature associated with the Strominger-Bismut connection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | First eigenvalue estimates on complete balanced Hermitian manifolds Zhang, Liangdi Differential Geometry Complex Variables Spectral Theory 53C55, 58C40 In analogy with classical results in Riemannian geometry, we establish estimates for the first eigenvalue of the Laplace-de Rham operator on complete balanced Hermitian manifolds in terms of either the holomorphic Ricci curvature or the holomorphic sectional curvature associated with the Strominger-Bismut connection. |
| title | First eigenvalue estimates on complete balanced Hermitian manifolds |
| topic | Differential Geometry Complex Variables Spectral Theory 53C55, 58C40 |
| url | https://arxiv.org/abs/2511.01297 |