PDE admitting Lagrangian solutions with nontrivial homotopy invariants (\(\pi\)-degree, polarization index, Maslov period)

DOI10.1016/0022-0396(91)90144-XzbMath0754.58043OpenAlexW2086016367MaRDI QIDQ1176512

Marek Kossowski

Publication date: 25 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90144-x

zbMATH Keywords

homotopy invariants\(\pi\)-degreeLagrangian solutionsLagrangian cylindersMaslov periodpolarization index

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70)

Cites Work

• Homotopy invariants for solutions to symplectic Monge Ampère equations
• Prescribing invariants for integral surfaces in the Grassmann bundle of 2-planes in 4-space
• Pseudo-Riemannian Metric Singularities and the Extendability of Parallel Transport
• Special Points on First Order Partial Differential Equations and the Deformations of Solutions
• LOCAL CLASSIFICATION OF NON-LINEAR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS
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