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arXiv · 2401.15988

Courbure des tissus en courbes

Lehmann Daniel
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Abstract

For any d-web by curves in an ambiant n-dimensional manifold, we define a tautological connection on some associated bundle, whose curvature vanishes iff the web has a maximal (n-1)-rank. As an application we recover, with the help of a Maple programm, that the exceptional 6-web $W_{0,6}$ in dimension 3 (as well as his 4 and 5-subwebs) have maximal rank.

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Lehmann Daniel. 2024-01-29. Courbure des tissus en courbes. https://arxiv.org/abs/2401.15988

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