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.
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| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics ;
41. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Foliations on 2-Manifolds
- General Theory
- Local Theory. Morse-Smale Foliations. Foliations Without Holonomy. Invariants of Foliations. Curves on Surfaces. Non-compact Surfaces
- Applications
- Ergodic Theory. Homeomorphisms of the Unit Circle. Diffeomorphisms of Surfaces. C*-Algebras. Quadratic Differentials. Flat Structures. Principal Curvature Lines. Differential Equations. Positive Differential 2-forms. Control Theory (by B. Piccoli)
- Appendix
- Riemann Surfaces.