Titlebook: Differential Geometry of Foliations; The Fundamental Inte Bruce L. Reinhart Book 1983 Springer-Verlag Berlin Heidelberg 1983 Blätterung (Ma

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Implications for Non-indexical Casesthe characteristic classes of the normal bundle. Moreover, the cohomology classes have formal properties analogous to those of the characteristic classes of a vector bundle. Hence, it is reasonable to try to obtain them by mapping into a classifying space for foliations, that is, some sort of foliat

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Prolongations, Connections, and Characteristic Classes,s extend to give new kinds of characteristic classes associated to a foliation. The presentation of the material will not be at all standard, however. Indeed, the same characteristic classes associated to a foliation of codimension . can be obtained from the algebra of formal power series vector fie

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Singular Foliations,the characteristic classes of the normal bundle. Moreover, the cohomology classes have formal properties analogous to those of the characteristic classes of a vector bundle. Hence, it is reasonable to try to obtain them by mapping into a classifying space for foliations, that is, some sort of foliat

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https://doi.org/10.1007/978-3-319-71973-3al mappings. The composition of two mappings of degree . is made into a mapping of degree . by discarding higher order terms, a procedure consistent with the application to Taylor series of differentiable mappings discussed in the second section. The higher order frame bundles on a manifold are prin

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Book 1983 some subgroup G of GL(V). It is particularly pleasant if one can choose the coordinate systems so that the Jacobian matrices of the coordinate transformations belong to G. A reduction to G is called a G-structure, which is called integrable (or flat) if the condition on the Jacobians is satisfied.

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Prolongations, Connections, and Characteristic Classes,al mappings. The composition of two mappings of degree . is made into a mapping of degree . by discarding higher order terms, a procedure consistent with the application to Taylor series of differentiable mappings discussed in the second section. The higher order frame bundles on a manifold are prin