Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929253928402944 |
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| author | Ishikawa, Goo Machida, Yoshinori |
| author_facet | Ishikawa, Goo Machida, Yoshinori |
| contents | A distribution of rank $4$ on a $7$-dimensional manifold is called a $(4, 7)$-distribution if its local sections generate the whole tangent space by taking Lie brackets once. Singular curves of $(4, 7)$-distributions are studied in this paper. In particular the class of hyperbolic $(4, 7)$-distributions of type $C_3$ is introduced and singular curves are completely described via prolongations for them. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_18739 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$ Ishikawa, Goo Machida, Yoshinori Differential Geometry Representation Theory Primary 53C17, Secondary 53B30, 58E10, 70H05, 93B27 A distribution of rank $4$ on a $7$-dimensional manifold is called a $(4, 7)$-distribution if its local sections generate the whole tangent space by taking Lie brackets once. Singular curves of $(4, 7)$-distributions are studied in this paper. In particular the class of hyperbolic $(4, 7)$-distributions of type $C_3$ is introduced and singular curves are completely described via prolongations for them. |
| title | Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$ |
| topic | Differential Geometry Representation Theory Primary 53C17, Secondary 53B30, 58E10, 70H05, 93B27 |
| url | https://arxiv.org/abs/2310.18739 |