تقرير
Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$
العنوان: | Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$ |
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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. |