تقرير
Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$
| العنوان: | Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$ |
|---|---|
| المؤلفون: | Ishikawa, Goo, Machida, Yoshinori |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Representation Theory, Primary 53C17, Secondary 53B30, 58E10, 70H05, 93B27 |
| الوصف: | 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. Comment: 17 pages 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.18739 |
| رقم الأكسشن: | edsarx.2310.18739 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |