**DIPS 5/2002**[tex source, PostScript, PDF file, dvi]-
**Title:**Baecklund transformations for the Liouville equation provide nonlocal variables and nonlocal structures.**Author:**Arthemy V. KISELEVBaecklund autotransformation for the hyperbolic Liouville equation, Baecklund transformation between the latter equation and the wave equation, and Baecklund transformation between the Liouville equation and the scal

^{+}-Liouville equation are integrated in nonlocal variables. For the Liouville equation, shadows of nonlocal symmetries are obtained, and these shadows are extended up to true nonlocal symmetries in non-abelian coverings. Nonlocal classical conservation laws are reconstructed for the latter equation.

10 pages, LaTeX-2e (AmSLaTeX).

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