Flows on 2-dimensional Manifolds : An Overview / / by Igor Nikolaev, Evgeny Zhuzhoma

• Autore: Nikolaev Igor <1961->
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1999
• Edizione: 1st ed. 1999.
• Descrizione fisica: 1 online resource (XXII, 302 p.)
• Disciplina: 510
• Soggetto topico: Geometry; Mathematical analysis; Global analysis (Mathematics); Manifolds (Mathematics); Dynamics; Discrete mathematics; Analysis; Global Analysis and Analysis on Manifolds; Dynamical Systems; Discrete Mathematics
• Classificazione: 57R25
• Persona (resp. second.): ZhuzhomaE. V.
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Flows on 2-dimensional manifolds
• ISBN: 3-540-48759-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910146308603321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 1617-9692 ; ; 1705