Overview

The book ...is a storehouse of useful information for the mathematicians interested in foliation theory. (John Cantwell, Mathematical Reviews 1992)

Full Product Details

Author:   Gilbert Hector
Publisher:   Springer Fachmedien Wiesbaden
Imprint:   Vieweg+Teubner Verlag
Edition:   1983 ed.
Volume:   3
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.480kg
ISBN:  

9783528085681

ISBN 10:   3528085681
Pages:   298
Publication Date:   01 January 1983
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In stock  
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Language:   German

Table of Contents

IV — Basic Constructions and Examples.- 1. General setting in co dimension one.- 2. Topological dynamics.- 3. Foliated bundles; examples.- 4. Gluing foliations together.- 5. Turbulization.- 6. Codimension-one foliations on spheres.- V — Structure of Codimension-One Foliations.- 1. Transverse orientability.- 2. Holonomy of compact leaves.- 3. Saturated open sets of compact manifolds.- 4. Centre of a compact foliated manifold; global stability.- VI — Exceptional Minimal Sets of Compact Foliated Manifolds; A Theorem of Sacksteder.- 1. Resilient leaves.- 2. The theorem of Denjoy-Sacksteder.- 3. Sacksteder’s theorem.- 4. The theorem of Schwartz.- VII — One Sided Holonomy; Vanishing Cycles and Closed Transversals.- 1. Preliminaries on one-sided holonomy and vanishing cycles.- 2. Transverse foliation* of D2 × IR.- 3. Existence of one-sided holonomy and vanishing cycles.- VIII — Foliations without Holonomy.- 1. Closed 1-forms without singularities.- 2. Foliations without holonomy versus equivariant fibrations.- 3. Holonomy representation and cohomology direction.- IX — Growth.- 1. Growth of groups, homogeneous spaces and riemannian manifolds.- 2. Growth of leave in foliatoons on compact manifolds.- X — Holonomy Invariant Measures.- 1. Invariant measures for subgroups of Homeo (?) or Homeo(S1).- 2. Foliations with holonomy invariant measure.

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