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Classification of Symmetric Caustics II: Caustic Equivalence
Author(s) -
Janeczko Stanislaw,
Roberts Mark
Publication year - 1993
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-48.1.178
Subject(s) - caustic (mathematics) , equivalence (formal languages) , symplectic geometry , equivalence relation , mathematics , invariant (physics) , lagrangian , pure mathematics , mathematical analysis , mathematical physics
Symplectic equivalence of Lagrangian projections is too strong to yield a useful classification of projections which commute with a symmetry group action. A weaker equivalence relation, caustic equivalence, is introduced and used to classify the caustics of Lagrangian submanifolds that are invariant under symplectic involutions.