Developments of curves with respect to symmetric tensors and existence of isometric immersions with prescribed second fundamental form
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917830604095488 |
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| author | Yu, Chengjie |
| author_facet | Yu, Chengjie |
| contents | In this paper, we introduce the notion of developments of curves with respect to symmetric tensors and use it to prove the existence of isometric immersions into a general ambient space with prescribed second fundamental form. Our method provides a geometric construction of such an isometric immersion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_07493 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Developments of curves with respect to symmetric tensors and existence of isometric immersions with prescribed second fundamental form Yu, Chengjie Differential Geometry In this paper, we introduce the notion of developments of curves with respect to symmetric tensors and use it to prove the existence of isometric immersions into a general ambient space with prescribed second fundamental form. Our method provides a geometric construction of such an isometric immersion. |
| title | Developments of curves with respect to symmetric tensors and existence of isometric immersions with prescribed second fundamental form |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1911.07493 |