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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:
Discrete Mathematics
Manifolds And Cell Complexes
Manifolds (mathematics)
Global Analysis (mathematics)
Global Analysis And Analysis On Manifolds
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a 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 
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653 |a Manifolds and Cell Complexes 
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653 |a Discrete mathematics 
653 |a Global analysis (Mathematics) 
653 |a Global Analysis and Analysis on Manifolds 
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520 |a 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 

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