3-webs with singularities

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Date

2016

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Maik Nauka-Interperiodica Publishing

Abstract

A 3-web with singularities is an ordered collection of three one-dimensional distributions L1, L2, L3 on a 2-dimensional manifold M. The subset Σ ⊂ M where these distributions are not pairwise transversal is called the singularity set. Under some conditions on Σ we find the differential invariants of the 3-web with singularities at the points of Σ and give examples of calculation of these invariants. © 2016, Pleiades Publishing, Ltd.

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Citation

Lobachevskii Journal of Mathematics; Vol. 37, Núm. 1; pp. 1-20