Minimal submanifolds and stability in Einstein manifolds
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916368513761280 |
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| author | Kalafat, Mustafa Kelekçi, Özgür Taşdemir, Mert |
| author_facet | Kalafat, Mustafa Kelekçi, Özgür Taşdemir, Mert |
| contents | In this paper, we compute the index and nullity for minimal submanifolds of some complex Einstein spaces. We investigate the stability of these minimal submanifolds and suggest a criterion for instability for some cases. We also compute some higher eigenvalues for the Laplacian of the Berger spheres and provide with an algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03347 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal submanifolds and stability in Einstein manifolds Kalafat, Mustafa Kelekçi, Özgür Taşdemir, Mert Differential Geometry Mathematical Physics Geometric Topology 53A10, 35P05, 53C25 In this paper, we compute the index and nullity for minimal submanifolds of some complex Einstein spaces. We investigate the stability of these minimal submanifolds and suggest a criterion for instability for some cases. We also compute some higher eigenvalues for the Laplacian of the Berger spheres and provide with an algorithm. |
| title | Minimal submanifolds and stability in Einstein manifolds |
| topic | Differential Geometry Mathematical Physics Geometric Topology 53A10, 35P05, 53C25 |
| url | https://arxiv.org/abs/2406.03347 |