edited by Paweł Walczak (Uniwersytet Łódzki, Poland) , Rémi Langevin (Université de Bourgogne, Dijon, France) , Steven Hurder (University of Illinois at Chicago, USA) , & Takashi Tsuboi (University of Tokyo, Japan)

Table of Contents (48k)
Preface (49k)
Chapter 1: Morphisms of Pseudogroups and foliated Maps (808k)

This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects. The focused aspects cover geometry of foliated Riemannian manifolds, Riemannian foliations and dynamical properties of foliations and some aspects of classical dynamics related to the field. Among the articles readers may find a study of foliations which admit a transverse contractive flow, an extensive survey on non-commutative geometry of Riemannian foliations, an article on contact structures converging to foliations, as well as a few articles on conformal geometry of foliations. This volume also contains a list of open problems in foliation theory which were collected from the participants of the Foliations 2005 conference.

• Morphisms of Pseudogroups and Foliated Maps (J Álvarez López & X Masa)
• On Infinitesimal Derivatives of the Bott Class (T Asuke)
• Hirsch Foliations in Codimension Greater Than One (A Bis, S Hurder & J Shive)
• Extrinsic Geometry of Foliations on 3-Manifolds (D Bolotov)
• Extrinsic Geometry of Foliations (M Czarnecki & P Walczak)
• Transversal Twistor Spinors on a Riemannian Foliation (S D Jung)
• A Survey on Simplicial Volume and Invariants of Foliations and Laminations (T Kuessner)
• Harmonic Foliations of the Plane, a Conformal Approach (R Langevin)
• Consecutive Shifts Along Orbits of Vector Fields (S Maksymenko)
• Generalized Equivariant Index Theory (K Richardson)
• Vanishing Results for Spectral Terms of a Riemannian Foliation (V Slesar)
• On the Group of Foliation Preserving Diffeomorphisms (T Tsuboi)
• and other papers