Introduction to the Geometry of Foliations, Part B
Vieweg & Teubner (Verlag)
978-3-528-08568-1 (ISBN)
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.
| Erscheint lt. Verlag | 1.1.1983 |
|---|---|
| Reihe/Serie | Aspects of Mathematics |
| Zusatzinfo | X, 298 S. |
| Verlagsort | Wiesbaden |
| Sprache | deutsch |
| Maße | 155 x 235 mm |
| Gewicht | 475 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Endlichkeit • Funktion • Geometrie • Homologie • Invariante • Lehrsatz • Mannigfaltigkeit • Morphismus |
| ISBN-10 | 3-528-08568-1 / 3528085681 |
| ISBN-13 | 978-3-528-08568-1 / 9783528085681 |
| Zustand | Neuware |
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