Foliations 2005: Proceedings of the International Conference

Foliations 2005: Proceedings of the International Conference


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Foliations 2005: Proceedings of the International Conference by Steven Hurder

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.

Product Details

ISBN-13: 9789812700742
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 09/28/2006
Pages: 488
Product dimensions: 6.10(w) x 9.00(h) x 1.20(d)

Table of Contents

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

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