| 书目名称 | Foliations: Dynamics, Geometry and Topology | | 编辑 | Masayuki Asaoka,Aziz El Kacimi Alaoui,Ken Richards | | 视频video | http://file.papertrans.cn/345/344884/344884.mp4 | | 概述 | Provides an introduction to Foliation Theory with a comprehensive overview of some recent developments of the theory.Includes results that so far were only available in original research articles.The | | 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona | | 图书封面 |  | | 描述 | 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 G | | 出版日期 | Textbook 2014 | | 关键词 | leafwise cohomology; leafwise geodesic flow; limit set; locally free action; transverse Dirac operator; t | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0871-2 | | isbn_softcover | 978-3-0348-0870-5 | | isbn_ebook | 978-3-0348-0871-2Series ISSN 2297-0304 Series E-ISSN 2297-0312 | | issn_series | 2297-0304 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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