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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.15643 |
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| _version_ | 1866912163136798720 |
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| author | Luo, Yong Zheng, Xianjing |
| author_facet | Luo, Yong Zheng, Xianjing |
| contents | In this paper we study eigenvalues of the Dirichlet Laplacian on conformally flat Riemannian manifolds. In particular we establish some universal inequality for eigenvalues of the Dirichlet Laplacian on the hyperbolic space $\mathbb{H}^n(-1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15643 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal inequalities for eigenvalues of the Dirichlet Laplacian on conformally flat Riemannian manifolds Luo, Yong Zheng, Xianjing Differential Geometry In this paper we study eigenvalues of the Dirichlet Laplacian on conformally flat Riemannian manifolds. In particular we establish some universal inequality for eigenvalues of the Dirichlet Laplacian on the hyperbolic space $\mathbb{H}^n(-1)$. |
| title | Universal inequalities for eigenvalues of the Dirichlet Laplacian on conformally flat Riemannian manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.15643 |