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  • © 1999

Flows on 2-dimensional Manifolds

An Overview

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

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XIX
  2. Definitions and examples

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 1-21
  3. Poincaré-Bendixson’s theory

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 23-39
  4. Decomposition of flows

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 41-62
  5. Local theory

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 63-71
  6. Space of flows and vector fields

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 73-93
  7. Ergodic theory

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 95-114
  8. Invariants of surface flows

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 115-174
  9. C*-algebras of surface flows

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 175-199
  10. Semi-local theory

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 201-208
  11. Anosov-Weil problem

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 209-237
  12. Non-compact surfaces

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 239-255
  13. Triptych

    • Igor Nikolaev, Evgeny Zhuzhoma
    Pages 257-268
  14. Back Matter

    Pages 269-295

About this book

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
  • combinatorics

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions