Coverart for item
The Resource Foliations : dynamics, geometry and topology, Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau, (electronic book)

Foliations : dynamics, geometry and topology, Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau, (electronic book)

Label
Foliations : dynamics, geometry and topology
Title
Foliations
Title remainder
dynamics, geometry and topology
Statement of responsibility
Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau
Contributor
Author
Editor
Subject
Language
eng
Summary
This book is an introduction to several active research topics in Foliation Theory and its connections with other areas. It contains expository lectures showing the diversity of ideas and methods arising and used in the study of foliations. The lectures by A. El Kacimi Alaoui offer an introduction to Foliation Theory, with emphasis on examples and transverse structures. S. Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations, like limit sets and cycles for leaves, leafwise geodesic flow, transverse exponents, stable manifolds, Pesin Theory, and hyperbolic, parabolic, and elliptic types of foliations, all of them illustrated with examples. The lectures by M. Asaoka are devoted to the computation of the leafwise cohomology of orbit foliations given by locally free actions of certain Lie groups, and its application to the description of the deformation of those actions. In the lectures by K. Richardson, he studies the geometric and analytic properties of transverse Dirac operators for Riemannian foliations and compact Lie group actions, and explains a recently proved index formula. Besides students and researchers of Foliation Theory, this book will appeal to mathematicians interested in the applications to foliations of subjects like topology of manifolds, dynamics, cohomology or global analysis
Member of
Cataloging source
GW5XE
Dewey number
514/.72
Illustrations
illustrations
Index
no index present
LC call number
QA613.62
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Asaoka, Masayuki
  • Alvarez López, Jesús A.
  • Nicolau, Marcel
Series statement
Advanced Courses in Mathematics, CRM Barcelona,
http://library.link/vocab/subjectName
  • Foliations (Mathematics)
  • Mathematics
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Dynamical Systems and Ergodic Theory
  • Global Analysis and Analysis on Manifolds
Label
Foliations : dynamics, geometry and topology, Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Color
multicolored
Contents
Fundamentals of Foliation Theory -- Foliation Dynamics -- Deformation of Locally Free Actions and Leafwise Cohomology -- Transversal Dirac Operators on Distributions, Foliations, and G-Manifolds
Control code
SPR893858089
Dimensions
unknown
Extent
1 online resource (ix, 198 pages)
File format
unknown
Form of item
online
Isbn
9783034808705
Level of compression
unknown
Other control number
10.1007/978-3-0348-0871-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Foliations : dynamics, geometry and topology, Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; editors for this volume: Jesús Álvarez López, Marcel Nicolau, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Color
multicolored
Contents
Fundamentals of Foliation Theory -- Foliation Dynamics -- Deformation of Locally Free Actions and Leafwise Cohomology -- Transversal Dirac Operators on Distributions, Foliations, and G-Manifolds
Control code
SPR893858089
Dimensions
unknown
Extent
1 online resource (ix, 198 pages)
File format
unknown
Form of item
online
Isbn
9783034808705
Level of compression
unknown
Other control number
10.1007/978-3-0348-0871-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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