Geometry, Dynamics, and Topology of Foliations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry, Dynamics, and Topology of Foliations write by Bruno Scárdua. This book was released on 2017. Geometry, Dynamics, and Topology of Foliations available in PDF, EPUB and Kindle. 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. Containing material dating from the origins of the theory of foliations, this volume also brings readers to the heart of recent results in the field.
Geometry, Dynamics And Topology Of Foliations: A First Course
Geometry, Dynamics And Topology Of Foliations: A First Course - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry, Dynamics And Topology Of Foliations: A First Course write by Bruno Scardua. This book was released on 2017-02-16. Geometry, Dynamics And Topology Of Foliations: A First Course available in PDF, EPUB and Kindle. 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.
Foliations: Dynamics, Geometry and Topology
Foliations: Dynamics, Geometry and Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foliations: Dynamics, Geometry and Topology write by Masayuki Asaoka. This book was released on 2014-10-07. Foliations: Dynamics, Geometry and Topology available in PDF, EPUB and Kindle. 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 and the Geometry of 3-Manifolds
Foliations and the Geometry of 3-Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foliations and the Geometry of 3-Manifolds write by Danny Calegari. This book was released on 2007-05-17. Foliations and the Geometry of 3-Manifolds available in PDF, EPUB and Kindle. 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.
Foliations, Geometry, and Topology
Foliations, Geometry, and Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foliations, Geometry, and Topology write by Nicolau Corção Saldanha. This book was released on 2009. Foliations, Geometry, and Topology available in PDF, EPUB and Kindle. "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.
