Foliations on Surfaces

AvIgor Nikolaev

Inbunden, Engelska, 2000

Del i serien Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2000-12-01
Mått:155 x 235 x 31 mm
Vikt:881 g
Format:Inbunden
Språk:Engelska
Serie:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor:450
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540675242

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Innehållsförteckning

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.