On Hexagonal Three-Webs Formed by the Cartesian Net and a Family of Circles

Using Elie Cartan’s method, we prove that there are only two types of regular threewebs formed by the Cartesian net and a family of circles: three-webs ( C 1 ) with family of concentric circles and three-webs ( C 2 ) with family of circles of a fixed radius whose centers belong to a line.

Saved in:
Bibliographic Details
Published in:Russian mathematics 2018-10, Vol.62 (10), p.68-81
Main Author: Shelekhov, A. M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Webs
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Using Elie Cartan’s method, we prove that there are only two types of regular threewebs formed by the Cartesian net and a family of circles: three-webs ( C 1 ) with family of concentric circles and three-webs ( C 2 ) with family of circles of a fixed radius whose centers belong to a line.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X18100080