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＜E-Book＞
Foliations on Surfaces / by Igor Nikolaev
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 41)

Edition	1st ed. 2001.
Publisher	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Year	2001
Language	English
Size	XXVI, 450 p : online resource
Authors	*Nikolaev, Igor author SpringerLink (Online service)
Subjects	LCSH:Manifolds (Mathematics) LCSH:Global analysis (Mathematics) LCSH:Discrete mathematics FREE:Manifolds and Cell Complexes FREE:Global Analysis and Analysis on Manifolds FREE:Discrete Mathematics
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-662-04524-4

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