Stability criteria and classification of singularities for equivariant Lagrangian submanifolds

DOI10.1016/0034-4877(88)90003-1zbMath0719.58014OpenAlexW1992189225MaRDI QIDQ2640203

Adam Kowalczyk, Stanisław Janeczko

Publication date: 1988

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(88)90003-1

zbMATH Keywords

symmetryclassificationstabilitysingularitiesnormal formsrecognition problemcompact Lie group actionequivariant Lagrangian submanifoldsstable \(({\mathbb{Z}}_ 2)^ q\)-equivariant singularities

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (1)

Classification of generic 3-dimensional Lagrangian singularities with \((\mathbb{Z}_ 2)^ l\)-symmetries

Cites Work

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• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
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• Lagrangian and Legendrian singularities
• Einige Bemerkungen zur Entfaltung symmetrischer Funktionen
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Stability of unfoldings
• Compact groups of differentiable transformations
• Geometrical approach to phase transitions and singularities of lagrangian submanifolds
• Equivariant Singularities of Lagrangian Manifolds and Uniaxial Ferromagnet
• Oscillatory integrals, lagrange immersions and unfolding of singularities

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