\({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds

DOI10.1016/0001-8708(86)90089-7zbMath0645.58002OpenAlexW2026518688MaRDI QIDQ1103238

Riccardo Giachetti, Riccardo Ricci

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90089-7

zbMATH Keywords

Frobenius theoremgraded manifoldsgraded vectorfields

Mathematics Subject Classification ID

Global differential geometry (53C99) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (7)

Marsden–Weinstein reduction on graded symplectic manifolds ⋮ Supersymmetric Yang-Mills equations and supertwistors ⋮ Hamilton's equations and supersymplectic flows on (2,2)-dimensional superspace ⋮ Existence and uniqueness of solutions to superdifferential equations ⋮ An independence theorem for Langrangian systems on graded manifolds ⋮ Theory of Connections on Graded Principal Bundles ⋮ Geometrical foundations of Lagrangian supermechanics and supersymmetry

Cites Work

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• Symplectic structures on graded manifolds
• Differential geometrical methods in mathematical physics. Proceedings of the symposium, held at the University of Bonn, July 1-4, 1975

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