Classical invariant theory and the equivalence problem for particle Lagrangians. I: Binary forms

DOI10.1016/0001-8708(90)90014-EzbMath0721.49011MaRDI QIDQ2640861

Peter J. Olver

Publication date: 1990

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

universal functionequivalence of binary forms

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (4)

Equivalence problems for first order Lagrangians on the line ⋮ Invariants for the Lagrangian equivalence problem ⋮ Joint differential invariants of binary and ternary forms ⋮ On the geometric structure of certain real algebraic surfaces

Cites Work

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• The local equivalence problem for \(d^ 2y/dx^ 2=F(x,y,dy/dx)\) and the Painlevé transcendents
• Equivalence problems for first order Lagrangians on the line
• Invariant theory
• Lectures on introduction to moduli problems and orbit spaces
• The Hamilton-Cartan formalism in the calculus of variations
• The invariant theory of binary forms
• Effective invariant theory
• Classical invariant theory and the equivalence problem for particle Lagrangians
• Classification of Second-Order Ordinary Differential Equations Admitting Lie Groups of Fibre-Preserving Point Symmetries

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