U Bruzzo and R Cianci 1985 J. Phys. A: Math. Gen. 18 417 doi:10.1088/0305-4470/18/3/017
Differential equations, Frobenius theorem and local flows on supermanifolds
U Bruzzo and R Cianci
Show affiliationsThe classical Frobenius theorem, both in its local and global formulations, is generalised to superanalytic supermanifolds. As an application, it is proved that a coset space G/H (where both G and H are super Lie groups) is a supermanifold. Existence and uniqueness of local flows of tangent vector fields is proved.
- PACS
- MSC
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58A50 Supermanifolds and graded manifolds (See also 14A22, 32C11)
53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (See also 14N35)
58A30 Vector distributions (subbundles of the tangent bundles)
- Subjects
- Dates
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Issue 3 (21 February 1985)
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Differential equations, Frobenius theorem and local flows on supermanifolds
U Bruzzo and R Cianci 1985 J. Phys. A: Math. Gen. 18 417
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