Igor Nikolaev, Evgeny Zhuzhoma

Flows on 2-dimensional Manifolds

An Overview

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1705
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-66080-4
• 1999.
• Seitenzahl: 324
• Erscheinungstermin: 15. Juli 1999
• Englisch
• Abmessung: 233mm x 155mm x 18mm
• Gewicht: 496g
• ISBN-13: 9783540660804
• ISBN-10: 3540660801
• Artikelnr.: 09231958

Inhaltsangabe

Definitions and examples.- Poincaré-Bendixson's 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.