Introduction to the Geometry of Foliations, Part B : Foliations of Codimension One / by Gilbert Hector, Ulrich Hirsch
(Aspects of Mathematics ; 3)
| データ種別 | 電子ブック |
|---|---|
| 版 | Second Edition |
| 出版者 | Wiesbaden : Vieweg+Teubner Verlag |
| 出版年 | 1987 |
| 本文言語 | 英語 |
| 大きさ | X, 298p : online resource |
書誌詳細を非表示
| 内容注記 | 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 |
|---|---|
| 著者標目 | *Hector, Gilbert author Hirsch, Ulrich author SpringerLink (Online service) |
| 件 名 | LCSH:Engineering FREE:Engineering FREE:Engineering, general |
| 分 類 | DC23:620 |
| 巻冊次 | ISBN:9783322901613 
|
| ISBN | 9783322901613 |
| URL | http://dx.doi.org/10.1007/978-3-322-90161-3 |
目次／あらすじ