Foliations: Dynamics, Geometry and Topology - Couverture souple

Asaoka, Masayuki; El Kacimi Alaoui, Aziz; Hurder, Steven; Richardson, Ken

Couverture souple

ISBN 10 : 3034808704 ISBN 13 : 9783034808705

Editeur : Springer Basel, 2014

Synopsis

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.

Détails de l'édition

• Éditeur: Springer Basel
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 3034808704
• ISBN 13: 9783034808705
• Reliure: Broché
• Nombre de pages: 207
• Éditeur: Álvarez López Jesús, Nicolau Marcel
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Allemagne