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Catalogue Information
Field name	Details
Dewey Class	514.34
Title	Foliations on Surfaces ([EBook] /) / by Igor Nikolaev.
Author	Nikolaev, Igor
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2001.
Physical Details	XXVI, 450 p. : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 0071-1136 ; ; 41
ISBN	9783662045244
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-04524-4
Links to Related Works	Subject References: Combinatorics . Complex manifolds . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematics . Authors: Nikolaev, Igor . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics . Classification: 514.34 .

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Foliations on Surfaces

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