An affine interpretation of Bäcklund transformations

DOI10.3103/S1066369X13070037zbMath1338.37102MaRDI QIDQ384253

A. K. Rybnikov

Publication date: 27 November 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationBäcklund mapconnection determining a representation of zero curvatureconnection in a principal bundleconnection in an associated bundle

Mathematics Subject Classification ID

Jets in global analysis (58A20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• Local jet bundle formulation of Bäcklund transformations. With applications to non-linear evolution equations
• Differential-geometric structures on manifolds
• Bäcklund transformations and their applications

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