Email this article 3-webs with singularities
- Authors: Arias Amaya F.A.1,2, Arteaga Bejarano J.R.2, Malakhaltsev M.2
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Affiliations:
- Universidad Tecnológica de Bolivar
- Universidad de los Andes
- Issue: Vol 37, No 1 (2016)
- Pages: 1-20
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197284
- DOI: https://doi.org/10.1134/S1995080216010029
- ID: 197284
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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.
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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
