Singular Lagrangians in supermechanics.

DOI10.1016/S0926-2245(02)00096-7zbMath1073.70022arXivmath-ph/0112024OpenAlexW1978179382WikidataQ115338167 ScholiaQ115338167MaRDI QIDQ1405246

Héctor Figueroa, José F. Cariñena

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0112024

zbMATH Keywords

Hamiltonian constraintsLagrangian constraintstime-evolution operator

Mathematics Subject Classification ID

Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (6)

Unnamed Item ⋮ On a geometric framework for Lagrangian supermechanics ⋮ Higher-stage Noether identities and second Noether theorems ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION ⋮ Graded vector fields and involutive distributions on graded manifolds ⋮ Dynamical Symmetries for Graded Vector Fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an evolution operator connecting Lagrangian and Hamiltonian formalisms
• The time-evolution operator for singular Lagrangians
• Geometric study of the connection between the Lagrangian and Hamiltonian constraints
• Sections along a map applied to higher-order Lagrangian mechanics. Noether's theorem
• Recursion operators and constants of motion in supermechanics
• Geometrical foundations of Lagrangian supermechanics and supersymmetry
• Geometric formulation of higher-order Lagrangian systems in supermechanics
• On the construction of \(\mathcal K\)-operators in field theories as sections along Legendre maps
• On the geometry of singular Lagrangians
• A geometrical version of Noether's theorem in supermechanics
• Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q
• First-order equations of motion for classical mechanics
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Hamiltonian versus Lagrangian formulations of supermechanics
• Lie algebroids and homological vector fields
• Singular Lagrangians: some geometric structures along the Legendre map
• A new approach to the converse of Noether's theorem
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• Generalized Hamiltonian Dynamics
• Dirac Bracket Transformations in Phase Space

This page was built for publication: Singular Lagrangians in supermechanics.