6533b85efe1ef96bd12bff46
RESEARCH PRODUCT
Geometric properties of involutive distributions on graded manifolds
O.a. Sánchez-valenzuelaJuan MonterdeJ. Muñoz-masquésubject
Discrete mathematicsPure mathematicsMathematics(all)Mathematics::Commutative AlgebraGeneral MathematicsMathematics::Rings and AlgebrasLie groupGraded Lie algebrasymbols.namesakeDifferential graded algebraBundlesymbolsMathematics::Differential GeometryFrobenius theorem (differential topology)Mathematicsdescription
AbstractA proof of the relative version of Frobenius theorem for a graded submersion, which includes a very short proof of the standard graded Frobenius theorem is given. Involutive distributions are then used to characterize split graded manifolds over an orientable base, and split graded manifolds whose Batchelor bundle has a trivial direct summand. Applications to graded Lie groups are given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-06-01 | Indagationes Mathematicae |