Flows on 2-dimensional Manifolds

An Overview

Igor Nikolaev, Evgeny Zhuzhoma (Autoren)

Buch | Softcover

XXII, 302 Seiten

1999 | 1999
Springer Berlin (Verlag)
978-3-540-66080-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	15.7.1999
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XXII, 302 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	420 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	classification • Closed Surface • combinatorics • Ergodic Measure • flow • Graph • Irrational Rotation Algebra • Mannigfaltigkeit (Mathematik) • SiM
ISBN-10	3-540-66080-1 / 3540660801
ISBN-13	978-3-540-66080-4 / 9783540660804
Zustand	Neuware