A geometrical version of Noether's theorem in supermechanics

DOI10.1016/0034-4877(94)90002-7zbMath0846.58008OpenAlexW2092657202MaRDI QIDQ1897812

Héctor Figueroa, José F. Cariñena

Publication date: 26 September 1996

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

Full work available at URL: http://cds.cern.ch/record/272063

zbMATH Keywords

Noether's theoremgraded geometryLagrangian supermechanicssupervector fields

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Analysis on supermanifolds or graded manifolds (58C50) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (11)

Unnamed Item ⋮ Lagrangian formalism over graded algebras ⋮ On a geometric framework for Lagrangian supermechanics ⋮ Symmetries, Conservation and Dissipation in Time‐Dependent Contact Systems ⋮ Singular Lagrangians in supermechanics. ⋮ Marsden–Weinstein reduction on graded symplectic manifolds ⋮ On the Noether theorem for optimal control ⋮ Symmetries, constants of the motion, and reduction of mechanical systems with external forces ⋮ Recursion operators and constants of motion in supermechanics ⋮ Graded vector fields and involutive distributions on graded manifolds ⋮ Dynamical Symmetries for Graded Vector Fields

Cites Work

• Unnamed Item
• On an evolution operator connecting Lagrangian and Hamiltonian formalisms
• Foundations of supermanifold theory: The axiomatic approach
• Sections along a map applied to higher-order Lagrangian mechanics. Noether's theorem
• Geometrical foundations of Lagrangian supermechanics and supersymmetry
• Fourier-Mukai transform and index theory
• Structure of the truncated icosahedron (e.g. fullerene or \(\text{C}_{60}\), viral coatings) and a \(60\)-element conjugacy class in \(\text{PSl}(2,11)\)
• ON THE INVERSE PROBLEM OF LAGRANGIAN SUPERMECHANICS
• The Structure of Supermanifolds
• Higher-order differential equations and higher-order lagrangian mechanics
• The Axioms of Supermanifolds and a New Structure Arising From Them
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• A new approach to the converse of Noether's theorem

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