ON ONE-PARAMETRIC FAMILY OF B\"ACKLUND AUTOTRANSFORMATIONS FOR THE LIOUVILLE EQUATION.
Author: Arthemy V. Kiselev
Scaling symmetry of the Liouville equation is proved to provide a
one-parametric family of one-dimensional non-abelian coverings
determining a B\"acklund autotransformation. Deformation of the
structural element is shown to be equal to the
Fr\"olicher-Nijenhuis bracket of the symmetry lifting and the
structural element of the coverings. An intriguing by-formula in
total derivatives is obtained.
7 pages, LaTeX-2e (AmS-LaTeX).
To compile source files (.tex) one needs the title page style files titlatex.tex.