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AuthorNikolaev, Igor. author
TitleFlows on 2-dimensional Manifolds [electronic resource] : An Overview / by Igor Nikolaev, Evgeny Zhuzhoma
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1999
Connect tohttp://dx.doi.org/10.1007/BFb0093599
Descript XXII, 302 p. online resource

SUMMARY

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 Poincarรฉ-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


CONTENT

Definitions and examples -- Poincarรฉ-Bendixsonโ{128}{153}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


Mathematics Mathematical analysis Analysis (Mathematics) Dynamics Ergodic theory Global analysis (Mathematics) Manifolds (Mathematics) Geometry Combinatorics Mathematics Geometry Analysis Global Analysis and Analysis on Manifolds Dynamical Systems and Ergodic Theory Combinatorics



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