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On the Geometry of B\"acklund Transformations

M. Palese·E. Winterroth
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Abstract

The geometry of an admissible B\"acklund transformation for an exterior differential system is described by an admissible Cartan connection for a geometric structure on a tower with infinite--dimensional skeleton which is the universal prolongation of a $|1|$--graded semi-simple Lie algebra.

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M. Palese, E. Winterroth. 2003-11-11. On the Geometry of B\"acklund Transformations. https://doi.org/10.1142/9789812704467_0036

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