Flows on 2-dimensional Manifolds: An Overview [Paperback]

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 Poincar?-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.Definitions and examples.- Poincar?-Bendixsons theory.- Decomposition of flows.- Local theory.- Space of flows and vector fields.- Ergodic theory.- Invariants of surface flows.- C *-algebras of surface flows.- Semi-local theory.- Anosov-Weil problem.- Non-compact surfaces.- Triptych.Includes supplementary material: sn.pub/extras