Author | Nikolaev, Igor. author |
---|---|

Title | Flows on 2-dimensional Manifolds [electronic resource] : An Overview / by Igor Nikolaev, Evgeny Zhuzhoma |

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

Connect to | http://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