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Showing 1 to 4 of 4 for “"G-structure"”.
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Generic Reductions of an Integrable G-Structure and an Infinitesimal Version of Cartan-Sternberg Reduction
Given an integrable G-structure P and a closed subgroup H of G, we assign to each H-reduction of P a singular set in the base manifold. Our first main result is that generically, this singular set is a finite disjoint union of submanifolds (our theorem generalizes an unpublished result of L. …
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From manifolds to invariants of En̳-algebras
… of those invariants. We define PROPs EG, for G a structure group sitting over GL(n, R). Given a manifold with a (tangential) G-structure, we define functors EG[M]: (EG) 0 -+ Top constructed out of spaces of G-augmented embeddings of disjoint unions of euclidean spaces into M. These spaces are …
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Dual Homotopy Invariants of G-Foliations
… normal bundle of is assumed to have a parallel G-structure. As an application of the theory which is constructed, it is shown that many of the secondary characteristic classes of smooth foliations are independently variable, extending the work of Heitsch in this direction. The homotopy groups …
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Jet groupoids, natural bundles and the Vessiot equivalence method
… for symmetries, this manifold has a groupoid structure, which is important to decide integrability with the help of natural bundles. During the completion of the symmetry equations to integrability, invariants occur. The Vessiot equivalence method computes a generating set of invariants. With …