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Flows on 2-dimensional Manifolds

An Overview

  • Authors
  • Igor Nikolaev
  • Evgeny Zhuzhoma

Part of the Lecture Notes in Mathematics book series (LNM, volume 1705)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 1-21
  3. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 23-39
  4. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 41-62
  5. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 63-71
  6. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 73-93
  7. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 95-114
  8. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 115-174
  9. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 175-199
  10. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 201-208
  11. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 209-237
  12. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 239-255
  13. Igor Nikolaev, Evgeny Zhuzhoma
    Pages 257-268
  14. Back Matter
    Pages 269-295

About this book

Introduction

Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.

Keywords

Closed Surface Ergodic Measure Flow Graph Irrational Rotation Algebra Sim classification

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093599
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66080-4
  • Online ISBN 978-3-540-48759-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site