Foliations Dynamics Geometry and Topology is popular PDF and ePub book, written by Masayuki Asaoka in 2014-10-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Foliations Dynamics Geometry and Topology can be Read Online from any device for your convenience.
Foliations Dynamics Geometry and Topology Book PDF 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 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.
Detail Book of Foliations Dynamics Geometry and Topology PDF
- Author : Masayuki Asaoka
- Release : 07 October 2014
- Publisher : Springer
- ISBN : 9783034808712
- Genre : Mathematics
- Total Page : 207 pages
- Language : English
- PDF File Size : 17,7 Mb
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