03374nam 22008415 450 991014630860332120250730111820.03-540-48759-X10.1007/BFb0093599(CKB)1000000000437307(SSID)ssj0000492874(PQKBManifestationID)12191487(PQKBTitleCode)TC0000492874(PQKBWorkID)10499909(PQKB)10000055(DE-He213)978-3-540-48759-3(MiAaPQ)EBC5586254(Au-PeEL)EBL5586254(OCoLC)1066180114(MiAaPQ)EBC6745660(Au-PeEL)EBL6745660(OCoLC)1113451955(PPN)155171143(EXLCZ)99100000000043730720121227d1999 u| 0engurnn#008mamaatxtccrFlows on 2-dimensional Manifolds An Overview /by Igor Nikolaev, Evgeny Zhuzhoma1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (XXII, 302 p.)Lecture Notes in Mathematics,1617-9692 ;1705Bibliographic Level Mode of Issuance: Monograph3-540-66080-1 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.Lecture Notes in Mathematics,1617-9692 ;1705GeometryMathematical analysisGlobal analysis (Mathematics)Manifolds (Mathematics)DynamicsDiscrete mathematicsGeometryAnalysisGlobal Analysis and Analysis on ManifoldsDynamical SystemsDiscrete MathematicsGeometry.Mathematical analysis.Global analysis (Mathematics)Manifolds (Mathematics)Dynamics.Discrete mathematics.Geometry.Analysis.Global Analysis and Analysis on Manifolds.Dynamical Systems.Discrete Mathematics.51057R25mscNikolaev Igor1961-59391Zhuzhoma E. V.MiAaPQMiAaPQMiAaPQBOOK9910146308603321Flows on 2-dimensional manifolds262447UNINA