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Analytic Foliations of Codimension One

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Abstract

A codimension n foliation F of an m-dimensional manifold is analytic when the change of coordinate maps which define F are analytic local diffeomorphisms of m. Under these conditions any element of the holonomy of a leaf of F has a representation which is an analytic local diffeomorphism of n.

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© 1985 Springer Science+Business Media New York

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Camacho, C., Lins Neto, A. (1985). Analytic Foliations of Codimension One. In: Geometric Theory of Foliations. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-5292-4_7

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  • DOI: https://doi.org/10.1007/978-1-4612-5292-4_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4684-7149-6

  • Online ISBN: 978-1-4612-5292-4

  • eBook Packages: Springer Book Archive

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