Foliations on Surfaces
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...
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001, 2001
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Edition: | 1st ed. 2001 |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 0. Foliations on 2-Manifolds
- 1. Local Theory
- 2. Morse—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 2—Forms
- 16. Control Theory
- 17. Riemann Surfaces