Flows on 2-dimensional Manifolds: An Overview
- ISBN-10
- 354048759X
- ISBN-13
- 9783540487593
- Category
- Mathematics
- Pages
- 302
- Language
- English
- Published
- 2006-11-14
- Publisher
- Springer
- Authors
- Igor Nikolaev, Evgeny Zhuzhoma
Description
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.
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