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- W2094263434 abstract "Goursat distributions are subbundles (of codimension at least 2) in the tangent bundles to manifolds having the flag of consecutive Lie squares of ranks not depending on a point and growing -- very slowly -- always by 1. This defining condition is rather strong, implying local polynomial pseudo-normal forms for them (proposed in 1981 by Kumpera and Ruiz) featuring only real parameters of ${it à}$ ${it priori}$ unknown status, many of them reducible by further diffeomorphisms of the base manifold. We show that in the local ${rm C}^infty$ and ${rm C}^{omega}$ classifications of Goursat distributions genuine continuous moduli appear already in codimension 2. First examples of such moduli were given in codimension 3; in codimensions 0 and 1 the local classification is known and discrete." @default.
- W2094263434 created "2016-06-24" @default.
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- W2094263434 date "2005-02-01" @default.
- W2094263434 modified "2023-09-23" @default.
- W2094263434 title "Real moduli in local classification of Goursat flags" @default.
- W2094263434 doi "https://doi.org/10.14492/hokmj/1285766199" @default.
- W2094263434 hasPublicationYear "2005" @default.
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