Flows on 2-dimensional Manifolds An Overview /

• Main Authors: Nikolaev, Igor (Author, http://id.loc.gov/vocabulary/relators/aut), Zhuzhoma, Evgeny (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1705
• Subjects: Geometry.; Mathematical analysis.; Analysis (Mathematics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Dynamics.; Ergodic theory.; Combinatorics.; Analysis.; Global Analysis and Analysis on Manifolds.; Dynamical Systems and Ergodic Theory.
• Physical Description: XXII, 302 p. online resource.
• ISBN: 9783540487593
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0093599

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.