Covariant symplectic geometry of binary forms and singularities of systems of rays

DOI10.1016/0034-4877(92)90010-XzbMath0787.53026OpenAlexW2141683008MaRDI QIDQ1308956

Stanisław Janeczko

Publication date: 9 May 1994

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

Full work available at URL: https://doi.org/10.1016/0034-4877(92)90010-x

zbMATH Keywords

contact structuretensor invariantsapolar coisotropic manifoldsgeneralized open swallowtailspolynomial covariants

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Vector and tensor algebra, theory of invariants (15A72) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Symmetry and bifurcations of momentum mappings
• Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail
• The umbral calculus
• Varieties of polynomials having a root of fixed comultiplicity, and the generalized Newton equation
• Singularities of Legendre varieties, of evolvents and of fronts at an obstacle
• The invariant theory of binary forms
• Generating families for images of Lagrangian submanifolds and open swallowtails
• Oscillatory integrals, lagrange immersions and unfolding of singularities
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