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3-webs with singularities


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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.

About the authors

F. A. Arias Amaya

Universidad Tecnológica de Bolivar; Universidad de los Andes

Author for correspondence.
Email: fa.arias44@uniandes.edu.co
Colombia, Cartagena de Indias; Bogotá

J. R. Arteaga Bejarano

Universidad de los Andes

Email: fa.arias44@uniandes.edu.co
Colombia, Bogotá

M. Malakhaltsev

Universidad de los Andes

Email: fa.arias44@uniandes.edu.co
Colombia, Bogotá

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