The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929400652496896 |
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| author | Duncan, Jonah A. J. Kumar, Aditya |
| author_facet | Duncan, Jonah A. J. Kumar, Aditya |
| contents | We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related results are also obtained under weaker geometric hypotheses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18290 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary Duncan, Jonah A. J. Kumar, Aditya Differential Geometry Analysis of PDEs Spectral Theory We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related results are also obtained under weaker geometric hypotheses. |
| title | The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary |
| topic | Differential Geometry Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2406.18290 |