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＜電子ブック＞
Flows on 2-dimensional Manifolds : An Overview / by Igor Nikolaev, Evgeny Zhuzhoma
(Lecture Notes in Mathematics. ISSN:16179692 ; 1705)

版	1st ed. 1999.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	XXII, 302 p : online resource
著者標目	*Nikolaev, Igor author Zhuzhoma, Evgeny author SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Mathematical analysis LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Dynamical systems LCSH:Discrete mathematics FREE:Geometry FREE:Analysis FREE:Global Analysis and Analysis on Manifolds FREE:Dynamical Systems FREE:Discrete Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/BFb0093599

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