Flows on 2-dimensional manifolds
Subtitle: an overview
By: Igor Nikolaev, Evgeny Zhuzhoma.
Contributors: Zhuzhoma, E. V.
Series: Lecture notes in mathematics,; 1705; Lecture notes in mathematics (Springer-Verlag) ;; 1705.
Publisher: Springer
Published: 1999
Place of publication: Berlin; New York
Language: eng
Number of pages: 294
Subjects: Flows (Differentiable dynamical systems); Low-dimensional topology
Other titles: Flows on two-dimensional manifolds
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.
Notes: Includes bibliographical references (p. [269]-286) and index.