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Introduction to the Geometry of Foliations, Part B: Foliations of Codimension One
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Catalogue Information
Field name
Details
Dewey Class
620
Title
Introduction to the Geometry of Foliations, Part B ([EBook] :) : Foliations of Codimension One / / by Gilbert Hector, Ulrich Hirsch.
Author
Hector, Gilbert
Added Personal Name
Hirsch, Ulrich
author.
Other name(s)
SpringerLink (Online service)
Edition statement
Second Edition.
Publication
Wiesbaden : : Vieweg+Teubner Verlag, , 1987.
Physical Details
X, 298 p. : online resource.
Series
Aspects of mathematics
0179-2156 ; ; 3
ISBN
9783322901613
Contents 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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-322-90161-3
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Subject References:
Engineering
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Engineering, general
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Authors:
Hector, Gilbert
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Hirsch, Ulrich
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Corporate Authors:
SpringerLink (Online service)
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Series:
Aspects of mathematics
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Classification:
620
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