Hamiltonian versus Lagrangian formulations of supermechanics

DOI10.1088/0305-4470/30/8/017zbMath0949.70016arXivdg-ga/9703016OpenAlexW1979408725MaRDI QIDQ4232146

José F. Cariñena, Héctor Figueroa

Publication date: 3 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9703016

zbMATH Keywords

graded manifoldstangent supermanifoldLagrangian supermechanicsHamiltonian supermechanicssuperbundle approachsupermanifolds approachsuperselection along morphism

Mathematics Subject Classification ID

Hamilton's equations (70H05) Supermanifolds and graded manifolds (58A50) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (12)

FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY ⋮ Unnamed Item ⋮ The meaning of time and covariant superderivatives in supermechanics ⋮ On a geometric framework for Lagrangian supermechanics ⋮ Singular Lagrangians in supermechanics. ⋮ REDUCTION OF LIE ALGEBROID STRUCTURES ⋮ Riemannian supergeometry ⋮ Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds ⋮ Recursion operators and constants of motion in supermechanics ⋮ Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology ⋮ Graded vector fields and involutive distributions on graded manifolds ⋮ Dynamical Symmetries for Graded Vector Fields

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