Foliations Dynamics Geometry And Topology
Download Foliations Dynamics Geometry And Topology full books in PDF, epub, and Kindle. Read online free Foliations Dynamics Geometry And Topology ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Masayuki Asaoka |
Publisher |
: Springer |
Total Pages |
: 207 |
Release |
: 2014-10-07 |
ISBN-10 |
: 9783034808712 |
ISBN-13 |
: 3034808712 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Foliations: Dynamics, Geometry and Topology by : Masayuki Asaoka
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.
Author |
: Mikhail Lyubich |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 250 |
Release |
: 2001 |
ISBN-10 |
: 9780821819852 |
ISBN-13 |
: 0821819852 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Laminations and Foliations in Dynamics, Geometry and Topology by : Mikhail Lyubich
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.
Author |
: Bruno Scardua |
Publisher |
: World Scientific |
Total Pages |
: 194 |
Release |
: 2017-02-16 |
ISBN-10 |
: 9789813207097 |
ISBN-13 |
: 9813207094 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Geometry, Dynamics And Topology Of Foliations: A First Course by : Bruno Scardua
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.
Author |
: Lawrence Conlon |
Publisher |
: World Scientific |
Total Pages |
: 462 |
Release |
: 2002-02-01 |
ISBN-10 |
: 9789814489706 |
ISBN-13 |
: 9814489700 |
Rating |
: 4/5 (06 Downloads) |
Synopsis Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop by : Lawrence Conlon
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.
Author |
: Bruno Scárdua |
Publisher |
: |
Total Pages |
: 179 |
Release |
: 2017 |
ISBN-10 |
: 9813207086 |
ISBN-13 |
: 9789813207080 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Geometry, Dynamics, and Topology of Foliations by : Bruno Scárdua
"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.
Author |
: Danny Calegari |
Publisher |
: Oxford University Press on Demand |
Total Pages |
: 378 |
Release |
: 2007-05-17 |
ISBN-10 |
: 9780198570080 |
ISBN-13 |
: 0198570082 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Foliations and the Geometry of 3-Manifolds by : Danny Calegari
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Author |
: Nicolau Corção Saldanha |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 247 |
Release |
: 2009 |
ISBN-10 |
: 9780821858240 |
ISBN-13 |
: 0821858246 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Foliations, Geometry, and Topology by : Nicolau Corção Saldanha
"This volume represents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers concentrate on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces. There are survey papers on classification of foliations and their dynamical properties, including codimension one foliations with Bott-Morse singularities. Other papers involve the relationship of foliations with characteristic classes, contact structures, and Eliashberg-Mishachev wrinkled mappings."--Publisher's website.
Author |
: Pawel Walczak |
Publisher |
: Birkhäuser |
Total Pages |
: 236 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783034878876 |
ISBN-13 |
: 3034878877 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Dynamics of Foliations, Groups and Pseudogroups by : Pawel Walczak
This book deals with the dynamics of general systems such as foliations, groups and pseudogroups, systems which are closely related via the notion of holonomy. It concentrates on notions and results related to different ways of measuring complexity of systems under consideration. More precisely, it deals with different types of growth, entropies and dimensions of limiting objects. Problems related to the topics covered are provided throughout the book.
Author |
: José Luis Cisneros-Molina |
Publisher |
: Birkhäuser |
Total Pages |
: 245 |
Release |
: 2017-02-13 |
ISBN-10 |
: 9783319393391 |
ISBN-13 |
: 3319393391 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Singularities in Geometry, Topology, Foliations and Dynamics by : José Luis Cisneros-Molina
This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings. Singularity theory is at the crossroad of various branches of mathematics and science in general. In recent years there have been remarkable developments, both in the theory itself and in its relations with other areas. The contributions in this volume originate from the “Workshop on Singularities in Geometry, Topology, Foliations and Dynamics”, held in Merida, Mexico, in December 2014, in celebration of José Seade’s 60th Birthday. It is intended for researchers and graduate students interested in singularity theory and its impact on other fields.
Author |
: Vladimir Rovenski |
Publisher |
: Springer Nature |
Total Pages |
: 319 |
Release |
: 2021-05-22 |
ISBN-10 |
: 9783030700676 |
ISBN-13 |
: 3030700674 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Extrinsic Geometry of Foliations by : Vladimir Rovenski
This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the case of mixed curvature of foliations is examined. The book is divided into five chapters that deal with integral and variation formulas and curvature and dynamics of foliations. Different approaches and methods (local and global, regular and singular) in solving the problems are described using integral and variation formulas, extrinsic geometric flows, generalizations of the Ricci and scalar curvatures, pseudo-Riemannian and metric-affine geometries, and 'computable' Finsler metrics. The book presents the state of the art in geometric and analytical theory of foliations as a continuation of the authors' life-long work in extrinsic geometry. It is designed for newcomers to the field as well as experienced geometers working in Riemannian geometry, foliation theory, differential topology, and a wide range of researchers in differential equations and their applications. It may also be a useful supplement to postgraduate level work and can inspire new interesting topics to explore.