Flows on Compact Surfaces: The Weil-Hedlund-Anosov Program

This textbook provides a comprehensive introduction to flows on compact surfaces, covering topology, classification, and Euclidean and hyperbolic rigid motions, with applications to dynamical systems. It requires a graduate-level topology course and is suitable for independent study.

Format: Hardback
Length: 362 pages
Publication date: 19 July 2023
Publisher: Birkhauser Verlag AG

This textbook provides a comprehensive and accessible introduction to flows on compact surfaces, addressing a gap in the existing literature. It serves as a valuable resource for both single-semester courses and independent study. By utilizing covering spaces as a modern setting, the book effectively explores the structure of flows on compact surfaces. It employs topology, particularly covering spaces, along with the classification of compact surfaces and Euclidean and hyperbolic rigid motions to establish structural theorems that characterize flows on surfaces in general. Several topics from dynamical systems, such as fixed points, invariant sets, orbits, and almost periodic points, are also explored in this book, which can be beneficial for various subareas of dynamical systems. The textbook successfully presents a self-contained introduction to dynamical systems or enhances the understanding of those already familiar with the field. It assumes a prerequisite of completing a graduate-level topology course and does not require prior knowledge of dynamical systems.

Weight: 729g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031329548
Edition number: 1st ed. 2023