Flows on 2-dimensional Manifolds : An Overview. 1st ed. 1999

種類:

電子ブック

責任表示:

by Igor Nikolaev, Evgeny Zhuzhoma

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999

著者名:

• Nikolaev, Igor.
• Zhuzhoma, Evgeny.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1705

ISBN:

9783540487593 [354048759X]    

注記:

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.
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.

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