Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems

Mathematics – Differential Geometry

Scientific paper

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51 pages, 2 figures, submitted to the Journal of Differential Geometry

Scientific paper

A Backlund transformation between two hyperbolic Monge-Ampere systems may be
described as a certain type of exterior differential system on a 6-dimensional
manifold B. The transformation is homogeneous if the group of symmetries of the
system acts transitively on B. We give a complete classification of homogeneous
Backlund transformations between hyperbolic Monge-Ampere systems.

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