Foliations 2012 : proceedings of the International Conference, Lodz, Poland, 25-30 June 2012 / editors, Pawel Walczak, Uniwersytet Lodzki, Poland, Jesus Alvarez Lopez, Universidade de Santiago de Compostela, Spain, Steven Hurder, University of Illinois at Chicago, USA, Remi Langevin, Universite de Bourgogne, France, Takashi Tsuboi, University of Tokyo, Japan.

Format:

Book

Conference/Event

Author/Creator:

Foliations (Conference), Corporate Author.

Contributor:

Walczak, Pawe�, 1975- editor.

Alvarez López, Jesús A., editor.

Hurder, Steve, editor.

Langevin, Remi, editor.

Tsuboi, Takashi, editor.

Conference Name:

European Congress of Mathematics (6th : 2012 : Łódź, Poland)

Foliations (Conference)

Series:

Gale eBooks

Language:

English

Subjects (All):

Foliations (Mathematics)--Congresses.

Foliations (Mathematics).

Differential topology--Congresses.

Differential topology.

Physical Description:

1 online resource (x, 265 pages) : illustrations

Place of Publication:

New Jersey : World Scientific, [2013]

Language Note:

English

Summary:

This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference "FOLIATIONS 2012". It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research.

Contents:

Preface; Organizing Committees; Contents; Characterization of the uniform perfectness of diffeomorphism groups preserving a submanifold Kojun Abe & Kazuhiko Fukui; 1. Introduction and statement of results; 2. Proof of Theorem 1; 3. Proof of Theorem 2; References; Recent progress in geometric foliation theory Marek Badura & Maciej Czarnecki; 1. Introduction; 2. Existence of foliations of prescribed properties; 3. Totally geodesic foliations; 4. Umbilical and constant mean curvature foliations; 5. Conformal geometry of foliations; 6. Geometric dynamics of foliations; References ; A class of dimensional type estimations of topological entropy of groups and pseudo groups Andrzej Bis1. Introduction; 2. Topological entropy of a finitely generated pseudogroup; 3. Hausdorff dimension and Caratheodory dimension structures; 3.1. Hausdorff dimension; 3.2. Caratheodory dimension structure; 3.3. Caratheodory capacity of sets; 3.4. Topological entropy coincides with a capacity of some C-structure; 4. A new class of entropy-like invariants for pseudogroups; 4.1. Upper capacity of a C-structure ((H, H1), f); 5. Estimations of geometric entropy of foliations; Acknowledgment ; References The sutured Thurston norm John Cantwell & Lawrence Conlon; 1. Introduction; 2. Cones of fibrations and foliations; 3. Doubling; 3.1. The doubling map; 3.2. The Thurston norm; 3.3. Inducing fibrations on DM; 4. Sutured handlebodies; 5. Computing the sutured Thurston norm; 6. Examples; 6.1. The Thurston ball; 6.2. The foliation cones; References; Foliations of S3 by Dupin cyclides Remi Langevin & Jean-Claude Sifre; 1. Introduction; 2. Classical foliation of S3 by tori and Hopf fibration; 2.1. A foliation of S3 by tori; 2.2. Tori in S3 and Hopf fibration; 3. Villarceau foliations of S3 ; 3.1. Hopf foliation of S33.2. Dupin cyclides and Villarceau foliations; 4. The space of spheres and its completion; 4.1. The space of spheres; 4.2. The projective completion of 4; 4.3. Sister conics in 4; 4.4. Action of U on 4 by Lie sphere transformations; 5. Foliations by cyclides tangent along a curve; 5.1. Contact elements and cyclides; 5.2. Contacts and cyclides; 5.3. Proof of the three contact theorem; 5.4. Proof of the foliation by tangent cyclides theorem (Theorem 2); 6. Detailed description of the foliations; 6.1. Singularities of the leaves: the Villarceau case ; 6.2. Singularities of the leaves: the non-Villarceau case6.3. Singularities of the leaves: portrait of the family; 7. Appendix; 7.1. Determination of a Lie sphere transformation by its restriction to conics; 7.2. A one parameter group of Lie sphere transformations; References; Transverse invariant measures extend to the ambient space Carlos Menino Coton; 1. Introduction; 2. Measurable laminations; 3. Case of a product foliated measurable space; 4. The general case; References; On a Poincare lemma for foliations Eva Miranda & Romero Solha; 1. Introduction ; 2. Singular foliations given by nondegenerate integrable systems

Notes:

Description based upon print version of record.

Includes bibliographical referenes and index.

Description based on online resource; title from PDF (ebrary, viewed December 30, 2013).

ISBN:

9789814556866

9814556866

OCLC:

869905541