Foliations on Surfaces

Igor Nikolaev (Autor)

Buch | Softcover

XXVI, 450 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2001
Springer Berlin (Verlag)
978-3-642-08698-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	9.12.2010
Reihe/Serie	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Zusatzinfo	XXVI, 450 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	713 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	05C • 28F • 30E • 34C • 46L • 57R • 58F • combinatorics • Curvature • diffeomorphism • Foliations • geodesics • manifold • Noncommutative Geometry • Partition • Riemann Surfaces • Teichmüller space
ISBN-10	3-642-08698-5 / 3642086985
ISBN-13	978-3-642-08698-4 / 9783642086984
Zustand	Neuware