Igor Nikolaev, Evgeny Zhuzhoma (auth.)9783540660064, 3-540-66006-2
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. |
Table of contents :
Definitions and examples….Pages 1-21
Poincaré-Bendixson’s theory….Pages 23-39
Decomposition of flows….Pages 41-62
Local theory….Pages 63-71
Space of flows and vector fields….Pages 73-93
Ergodic theory….Pages 95-114
Invariants of surface flows….Pages 115-174
C * -algebras of surface flows….Pages 175-199
Semi-local theory….Pages 201-208
Anosov-Weil problem….Pages 209-237
Non-compact surfaces….Pages 239-255
Triptych….Pages 257-268 |
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