Foliations 2005: Proceedings of the International Conference Lodz, Poland, 13 - 24 June 2005

by Walczak, Pawel Grzegorz; Langevin, Remi; Hurder, Steven; Tsuboi, Takashi

• ISBN13: 9789812700742
• ISBN10: 9812700749
• Format: Hardcover
• Copyright: 2006-09-20
• Publisher: World Scientific Pub Co Inc

Summary

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.

Table of Contents

Morphisms of pseudogroups and foliated maps	p. 1
Codimension-one foliations with a transversely contracting flow	p. 21
On infinitesimal derivatives of the Bott class	p. 37
Dense orbits for abelian subgroups of GL(n, C)	p. 47
Hirsch foliations in codimension greater than one	p. 71
Extrinsic geometry of foliations on 3-manifolds	p. 109
Classification of Morse-Smale diffeomorphisms with the chain of saddles on 3-manifolds	p. 121
Extrinsic geometry of foliations	p. 149
Surface dynamical systems and foliations via geodesic laminations	p. 169
On rigidity of submanifolds tangent to nonintegrable distributions	p. 203
Transversal twistor spinors on a Riemannian foliation	p. 215
A Birkhhoff section for the Bonatti-Langevin example of Anosov flow	p. 229
A remark on a relation between foliations and number theory	p. 245
Noncommutative spectral geometry of Riemannian foliations: Some results and open problems	p. 251
A survey on simplicial volume and invariants of foliations and laminations	p. 293
Harmonic foliations of the plane, a conformal approach	p. 315
Consecutive shifts along orbits of vector fields	p. 327
A Lie algebroid and a Dirac structure associated to an almost Dirac structure	p. 341
Convergence of contact structures to foliations	p. 353
Generalized equivariant index theory	p. 373
Vanishing results for spectral terms of a Riemannian foliation	p. 389
The generalized Weyl group of a singular Riemannian foliation	p. 399
On the group of foliation preserving diffeomorphisms	p. 411
Conformally defined geometry on foliated Riemannian manifolds	p. 431
Problem Set	p. 441
List of participants	p. 477
Program	p. 479
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