FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 2, PAGES 115-128

On the factor-web $ \bar W(\rho,r,r) $ of the three-web W(r,r,r)

G. A. Tolstikhina

Abstract

View as HTML     View as gif image

The notion of the factor-web $ \bar W(\rho,r,r) $ (1 £ r < r) is defined for the three-web W(r,r,r) formed on a 2r-dimensional differentiable manifold by three r-dimensional smooth foliations. Embedding of the factor-web in the initial web W(r,r,r) is constructed. This construction is a well-known geometric analog of the canonical extension of a Lie group of transformations to its parameter group.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k10/k102/k10212h.htm
Last modified: April 5, 2011