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Foliations: Dynamics, Geometry and Topology

2014-10-07 Mathematics
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Release : 2014-10-07
Genre : Mathematics
Kind : eBook
Book Rating : 712/5 ( reviews)

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Book Synopsis Foliations: Dynamics, Geometry and Topology by : Masayuki Asaoka

Download or read book Foliations: Dynamics, Geometry and Topology written by Masayuki Asaoka. This book was released on 2014-10-07. Available in PDF, EPUB and Kindle. Book excerpt: 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 converging in the study of foliations. The lectures by Aziz El Kacimi Alaoui provide an introduction to Foliation Theory with emphasis on examples and transverse structures. Steven Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations: limit sets and cycles for leaves, leafwise geodesic flow, transverse exponents, Pesin Theory and hyperbolic, parabolic and elliptic types of foliations. The lectures by Masayuki Asaoka compute the leafwise cohomology of foliations given by actions of Lie groups, and apply it to describe deformation of those actions. In his lectures, Ken Richardson studies the 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 be interesting for mathematicians interested in the applications to foliations of subjects like Topology of Manifolds, Differential Geometry, Dynamics, Cohomology or Global Analysis.

Laminations and Foliations in Dynamics, Geometry and Topology

2001 Mathematics
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Release : 2001
Genre : Mathematics
Kind : eBook
Book Rating : 852/5 ( reviews)

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Book Synopsis Laminations and Foliations in Dynamics, Geometry and Topology by : Mikhail Lyubich

Download or read book Laminations and Foliations in Dynamics, Geometry and Topology written by Mikhail Lyubich. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on a conference held at SUNY, Stony Brook (NY). The concepts of laminations and foliations appear in a diverse number of fields, such as topology, geometry, analytic differential equations, holomorphic dynamics, and renormalization theory. Although these areas have developed deep relations, each has developed distinct research fields with little interaction among practitioners. The conference brought together the diverse points of view of researchers from different areas. This book includes surveys and research papers reflecting the broad spectrum of themes presented at the event. Of particular interest are the articles by F. Bonahon, "Geodesic Laminations on Surfaces", and D. Gabai, "Three Lectures on Foliations and Laminations on 3-manifolds", which are based on minicourses that took place during the conference.

Geometry, Dynamics And Topology Of Foliations: A First Course

2017-02-16 Mathematics
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Release : 2017-02-16
Genre : Mathematics
Kind : eBook
Book Rating : 094/5 ( reviews)

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Book Synopsis Geometry, Dynamics And Topology Of Foliations: A First Course by : Bruno Scardua

Download or read book Geometry, Dynamics And Topology Of Foliations: A First Course written by Bruno Scardua. This book was released on 2017-02-16. Available in PDF, EPUB and Kindle. Book excerpt: The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments.In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations.

Geometry, Dynamics, and Topology of Foliations

2017 Differential topology
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Release : 2017
Genre : Differential topology
Kind : eBook
Book Rating : 080/5 ( reviews)

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Book Synopsis Geometry, Dynamics, and Topology of Foliations by : Bruno Scárdua

Download or read book Geometry, Dynamics, and Topology of Foliations written by Bruno Scárdua. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: "The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments. In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations."--Publisher's website.

Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop

2002-02-01
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Release : 2002-02-01
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Kind : eBook
Book Rating : 700/5 ( reviews)

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Book Synopsis Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop by : Lawrence Conlon

Download or read book Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop written by Lawrence Conlon. This book was released on 2002-02-01. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.

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