Quadratic pseudopotentials for Gl(N,\({\mathbb{C}})\) principal sigma models

DOI10.1016/0167-2789(84)90188-XzbMath0584.58016OpenAlexW1988827335MaRDI QIDQ1069522

Yvan Saint-Aubin, J. Harnad, Steven Shnider

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90188-x

zbMATH Keywords

Minkowski spaceBäcklund transformationssigma modelsmatrix pseudopotentialsquadratic nonlinearities of the Riccati type

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of manifolds of mappings to the sciences (58D30)

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Cites Work

• Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
• Integrable Hamiltonian systems and interactions through quadratic constraints
• On the differential geometry of foliations
• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
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