Analytic Foliations of Codimension One

César Camacho and Alcides Lins Neto

Chapter VI in Geometric Theory of Foliations, 1985, pp 115-129 from Springer

Abstract: 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 ℝ m . Under these conditions any element of the holonomy of a leaf of F has a representation which is an analytic local diffeomorphism of ℝ n .

Keywords: Vector Field; Closed Orbit; Morse Function; Regular Orbit; Saddle Connection (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4612-5292-4_7

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