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arXiv · 2310.18739

Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$

Goo Ishikawa·Yoshinori Machida
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Abstract

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.

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Goo Ishikawa, Yoshinori Machida. 2023-10-28. Singular curves of hyperbolic $(4, 7)$-distributions of type $C_3$. https://arxiv.org/abs/2310.18739

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