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Foliations on Surfaces

  • Igor Nikolaev

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 41)

Table of contents

  1. Front Matter
    Pages I-XXVI
  2. Foliations on 2-Manifolds

    1. Igor Nikolaev
      Pages 1-18
  3. General Theory

    1. Front Matter
      Pages 19-19
    2. Igor Nikolaev
      Pages 21-35
    3. Igor Nikolaev
      Pages 37-65
    4. Igor Nikolaev
      Pages 67-123
    5. Igor Nikolaev
      Pages 125-190
    6. Igor Nikolaev
      Pages 191-222
    7. Igor Nikolaev
      Pages 223-237
  4. Applications

    1. Front Matter
      Pages 239-239
    2. Igor Nikolaev
      Pages 241-259
    3. Igor Nikolaev
      Pages 261-293
    4. Igor Nikolaev
      Pages 295-303
    5. Igor Nikolaev
      Pages 305-330
    6. Igor Nikolaev
      Pages 331-340
    7. Igor Nikolaev
      Pages 341-351
    8. Igor Nikolaev
      Pages 353-373
    9. Igor Nikolaev
      Pages 375-382
    10. Igor Nikolaev
      Pages 383-390
    11. B. Piccoli
      Pages 391-398
  5. Appendix

    1. Front Matter
      Pages 399-399
    2. Igor Nikolaev
      Pages 401-429
  6. Back Matter
    Pages 431-450

About this book

Introduction

Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry. This comprehensive book addresses graduate students and researchers and will serve as a reference book for experts in the field.

Keywords

Foliations Geodesics Noncommutative Geometry Partition Riemann Surfaces Teichmüller Space curvature diffeomorphism manifold

Authors and affiliations

  • Igor Nikolaev
    • 1
  1. 1.The Fields Institute for Research in Mathematical SciencesTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04524-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08698-4
  • Online ISBN 978-3-662-04524-4
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site
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