Generating families for images of Lagrangian submanifolds and open swallowtails

DOI10.1017/S0305004100065889zbMath0635.58012OpenAlexW2117707573MaRDI QIDQ3774591

Stanisław Janeczko

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100065889

zbMATH Keywords

Lagrangian submanifoldssymplectic relationsgeneralized cotangent bundlesmooth stable mappings

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (12)

Parametrized Legendre and Lagrange varieties ⋮ Generalized Luneburg canonical varieties and vector fields on quasicaustics ⋮ A symplectic framework for multiplane gravitational lensing ⋮ Singularities of Lagrangian varieties and related topics ⋮ Lagrangian submanifolds in product symplectic spaces ⋮ Parametrization of a Singular Lagrangian Variety ⋮ On quasicaustics and their logarithmic vector fields ⋮ Classification of generic 3-dimensional Lagrangian singularities with \((\mathbb{Z}_ 2)^ l\)-symmetries ⋮ Unnamed Item ⋮ Isotropic varieties in the singular symplectic geometry ⋮ Covariant symplectic geometry of binary forms and singularities of systems of rays ⋮ On stable singular Lagrangian varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
• Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail
• Contact equivalence for Lagrangian manifolds
• Stability of unfoldings in space and time
• Lagrangian and Legendrian singularities
• Equivalence of glancing hyper-surfaces
• Symplectic manifolds and their Lagrangian submanifolds
• Oscillatory integrals, lagrange immersions and unfolding of singularities

This page was built for publication: Generating families for images of Lagrangian submanifolds and open swallowtails