Topology Of Foliations An Introduction

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Topology Of Foliations An Introduction

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Author : Ichirō Tamura
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Topology Of Foliations An Introduction written by Ichirō Tamura and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.

Topology Of Foliations

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Author : Itiro Tamura
language : en
Publisher:
Release Date : 1992

Topology Of Foliations written by Itiro Tamura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

Topology Of Foliations

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Author :
language : en
Publisher:
Release Date : 1979

Topology Of Foliations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.

Topology Of Foliations

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Author : Itiro Tamura
language : en
Publisher:
Release Date : 1992

Topology Of Foliations written by Itiro Tamura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

Foliations Dynamics Geometry And Topology

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Author : Masayuki Asaoka
language : en
Publisher: Springer
Release Date : 2014-10-07

Foliations Dynamics Geometry And Topology written by Masayuki Asaoka and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-07 with Mathematics categories.

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.

Foliations Ii

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Author : Alberto Candel
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Foliations Ii written by Alberto Candel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to further study using the extensive available literature.

Introduction To The Geometry Of Foliations Part B

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Author : Gilbert Hector
language : en
Publisher: Vieweg+Teubner Verlag
Release Date : 1987-01-01

Introduction To The Geometry Of Foliations Part B written by Gilbert Hector and has been published by Vieweg+Teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Technology & Engineering categories.

"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)

Introduction To Foliations And Lie Groupoids

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Author : I. Moerdijk
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-18

Introduction To Foliations And Lie Groupoids written by I. Moerdijk and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-18 with Mathematics categories.

This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.

Introduction To The Geometry Of Foliations Part A

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Author : Gilbert Hector
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To The Geometry Of Foliations Part A written by Gilbert Hector and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Foliation theory grew out of the theory of dynamical systems on manifolds and Ch. Ehresmann's connection theory on fibre bundles. Pioneer work was done between 1880 and 1940 by H. Poincare, I. Bendixson, H. Kneser, H. Whitney, and IV. Kaplan - to name a few - who all studied "regular curve families" on surfaces, and later by Ch. Ehresmann, G. Reeb, A. Haefliger and otners between 1940 and 1960. Since then the subject has developed from a collection of a few papers to a wide field of research. ~owadays, one usually distinguishes between two main branches of foliation theory, the so-called quantitative theory (including homotopy theory and cnaracteristic classes) on the one hand, and the qualitative or geometrie theory on the other. The present volume is the first part of a monograph on geometrie aspects of foliations. Our intention here is to present some fundamental concepts and results as weIl as a great number of ideas and examples of various types. The selection of material from only one branch of the theory is conditioned not only by the authors' personal interest but also by the wish to give a systematic and detailed treatment, including complete proofs of all main results. We hope that tilis goal has been achieved

Foliations Geometry And Dynamics Proceedings Of The Euroworkshop

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Author : Lawrence Conlon
language : en
Publisher: World Scientific
Release Date : 2002-02-01

Foliations Geometry And Dynamics Proceedings Of The Euroworkshop written by Lawrence Conlon and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-01 with categories.

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.