Geometric properties of involutive distributions on graded manifolds

DOI10.1016/S0019-3577(97)89122-7zbMath0887.58008MaRDI QIDQ1364612

Oscar Adolfo Sánchez Valenzuela, Juan Monterde, Jaime Muñoz Masqué

Publication date: 6 May 1998

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

foliationsupermanifoldgraded Lie algebraFrobenius theoremgraded manifoldinvolutive distributiongraded submersiongraded Lie groupBatchelor bundlegraded ordinary differential equationgraded vector field

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Foliations in differential topology; geometric theory (57R30) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (6)

Unnamed Item ⋮ Secondary characteristic classes of super-foliations ⋮ Lie supergroups supported over \(\text{GL}_2\) and \(\text{U}_2\) associated to the adjoint representation ⋮ Classification of integration patterns on \(\mathbb{R}^{1|1}\) ⋮ Graded vector fields and involutive distributions on graded manifolds ⋮ Dynamical Symmetries for Graded Vector Fields

Cites Work

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• A characterization of graded symplectic structures
• Fibred Frobenius theorem
• Lie Supergroup Actions on Supermanifolds
• Linear Supergroup Actions. I: On the Defining Properties
• The super complex Frobenius theorem
• A Short Proof of the Frobenius Theorem
• On Holomorphic Graded Manifolds

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