Superspace first-order partial differential equations through the Cartan–Kähler integration theorem

DOI10.1063/1.528142zbMath0662.58011OpenAlexW1986877855MaRDI QIDQ3811385

Roberto Cianci

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528142

zbMATH Keywords

superspacefirst-order partial differential equationsCartan-Kähler integration

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (5)

Distributions and partial differential equations on superspace ⋮ Grassmann-valued fluid dynamics ⋮ Group invariant solutions for the N=2 super Korteweg–de Vries equation ⋮ Computation of Lie supersymmetries for the supersymmetric two bosons equations ⋮ Differential equations with supersymmetric time

Cites Work

• Superspaces and supersymmetries
• On E. Cartan's Prolongation Theorem of Exterior Differential Systems
• Mathematical theory of super fibre bundles
• Differential equations, Frobenius theorem and local flows on supermanifolds
• Super Lie groups: global topology and local structure
• Overdetermined systems of linear partial differential equations

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