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 noncommutative geometry. This comprehensive book addresses graduate students and researchers and will serve as a reference book for experts in the field.

Sommario

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.

Riassunto

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.

Dettagli sul prodotto

• Autori: Igor Nikolaev
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 20.12.2002
• EAN: 9783540675242
• ISBN: 978-3-540-67524-2
• Pagine: 450
• Peso: 804 g
• Illustrazioni: XXVI, 450 p.
• Serie: Ergebnisse der Mathematik und ihrer Grenzgebiete; Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge; Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics; Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge; Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria; B, Diskrete Mathematik, Mathematische Analysis, allgemein, Combinatorics, Mathematics and Statistics, Discrete Mathematics, Combinatorics & graph theory, Numerical analysis, Manifolds and Cell Complexes (incl. Diff.Topology), Manifolds (Mathematics), Manifolds and Cell Complexes, Complex manifolds, Analytic topology, Global analysis (Mathematics), Global Analysis and Analysis on Manifolds