FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

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

G. A. Tolstikhina

Abstract

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The notion of the factor-web $\$\; \backslash bar\; W(\backslash rho,r,r)\; \$$ ($1$£ 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.

Location: http://mech.math.msu.su/~fpm/eng/k10/k102/k10212h.htm

Last modified: April 5, 2011