Minimal Submanifolds via Complex-Valued Eigenfunctions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913290063446016 |
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| author | Gudmundsson, Sigmundur Munn, Thomas Jack |
| author_facet | Gudmundsson, Sigmundur Munn, Thomas Jack |
| contents | In this work we introduce a new method for manufacturing minimal submanifolds in Riemannian geometry. For this we employ the so called complex-valued eigenfunctions. This is particularly interesting in the cases when the Riemannian ambient manifold is compact. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16274 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Minimal Submanifolds via Complex-Valued Eigenfunctions Gudmundsson, Sigmundur Munn, Thomas Jack Differential Geometry 53C35, 53C43, 58E20 In this work we introduce a new method for manufacturing minimal submanifolds in Riemannian geometry. For this we employ the so called complex-valued eigenfunctions. This is particularly interesting in the cases when the Riemannian ambient manifold is compact. |
| title | Minimal Submanifolds via Complex-Valued Eigenfunctions |
| topic | Differential Geometry 53C35, 53C43, 58E20 |
| url | https://arxiv.org/abs/2307.16274 |