UID:
almahu_9947363165102882
Format:
X, 298p.
,
online resource.
Edition:
Second Edition.
ISBN:
9783322901613
Series Statement:
Aspects of Mathematics, 3
Note:
IV — Basic Constructions and Examples -- 1. General setting in co dimension one -- 2. Topological dynamics -- 3. foliated bundles ; example -- 4. Gluing foliations together -- 5. Turbulization -- 6. Co dimension-one foliations on spkeres -- V — Structure of Codimension-one Foliations -- 1. Trans verse orientability -- 2. Holonomy of compact leaver -- 3. Saturated open sets of compact manifolds -- 4. Centre of a compact foliated manifold; global stability -- Charter 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 -- Charter VII — One Sided Holonomy; Vanishing Cycles and Closed Transversals -- 1. Preliminaries on one-sided holonomy and vanishing cycles -- 2. Transverse follatlons 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 leaves in foliations on compact manifolds -- X — Holonomy Invariant Measures -- 1. Invariant measures for subgroups of Horneo (IR) or Homeo (S1 ) -- 2. Foliations witk holonomy invariant measure -- Literature. -- Glossary of notations.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783528185688
Language:
English
DOI:
10.1007/978-3-322-90161-3
URL:
http://dx.doi.org/10.1007/978-3-322-90161-3
