The submanifold compatibility equations in magnetic geometry
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914241905164288 |
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| author | Terek, Ivo |
| author_facet | Terek, Ivo |
| contents | With the notions of magnetic curvature and magnetic second fundamental form recently introduced by Assenza and Albers-Benedetti-Maier, respectively, we establish analogues of the Gauss, Ricci, and Codazzi-Mainardi compatibility equations from submanifold theory in the magnetic setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22990 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The submanifold compatibility equations in magnetic geometry Terek, Ivo Differential Geometry 53C15, 53C40 With the notions of magnetic curvature and magnetic second fundamental form recently introduced by Assenza and Albers-Benedetti-Maier, respectively, we establish analogues of the Gauss, Ricci, and Codazzi-Mainardi compatibility equations from submanifold theory in the magnetic setting. |
| title | The submanifold compatibility equations in magnetic geometry |
| topic | Differential Geometry 53C15, 53C40 |
| url | https://arxiv.org/abs/2506.22990 |