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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Bibliographic Details
Main Author: Nikolaev, Igor
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2001, 2001
Edition:1st ed. 2001
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
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