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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Creation and annihilation operators for SU(3) in an SO(6,2) model
A J Bracken and J H MacGibbon 1984 J. Phys. A: Math. Gen. 17 2581
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Notes on 'particle detectors'
P G Grove and A C Ottewill 1983 J. Phys. A: Math. Gen. 16 3905
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Hard hexagons: exact solution
R J Baxter 1980 J. Phys. A: Math. Gen. 13 L61
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Orbital angular momentum and massless particles
M A Lohe 1977 J. Phys. A: Math. Gen. 10 525
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Quantum field theory on a cone
J S Dowker 1977 J. Phys. A: Math. Gen. 10 115
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Community detection with and without prior information
A. E. Allahverdyan et al 2010 EPL 90 18002
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PageRank equation and localization in the WWW
N. Perra et al 2009 EPL 88 48002
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Results in Kalb-Ramond field localization and resonances on deformed branes
W. T. Cruz et al 2009 EPL 88 41001
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