Foliations on Surfaces by Igor NikolaevFoliations on Surfaces by Igor Nikolaev

Foliations on Surfaces

byIgor Nikolaev

Paperback | December 9, 2010

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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.
Title:Foliations on SurfacesFormat:PaperbackDimensions:450 pagesPublished:December 9, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3642086985

ISBN - 13:9783642086984

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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.