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

Title | Foliations on Surfaces [electronic resource] / by Igor Nikolaev |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001 |

Connect to | http://dx.doi.org/10.1007/978-3-662-04524-4 |

Descript | XXVI, 450 p. online resource |

SUMMARY

Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry. This comprehensive book addresses graduate students and researchers and will serve as a reference book for experts in the field

CONTENT

0. Foliations on 2-Manifolds -- 1. Local Theory -- 2. Morseโ{128}{148}Smale Foliations -- 3. Foliations Without Holonomy -- 4. Invariants of Foliations -- 5. Curves on Surfaces -- 6. Non-compact Surfaces -- 7. Ergodic Theory -- 8. Homeomorphisms of the Unit Circle -- 9. Diffeomorphisms of Surfaces -- 10. C*-Algebras -- 11. Quadratic Differentials -- 12. Flat Structures -- 13. Principal Curvature Lines -- 14. Differential Equations -- 15. Positive Differential 2โ{128}{148}Forms -- 16. Control Theory -- 17. Riemann Surfaces

Mathematics
Global analysis (Mathematics)
Manifolds (Mathematics)
Complex manifolds
Combinatorics
Mathematics
Manifolds and Cell Complexes (incl. Diff.Topology)
Global Analysis and Analysis on Manifolds
Combinatorics