Foliations on Surfaces

by Igor Nikolaev

Overview

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.

Product Details

ISBN-13:	9783540675242
Publisher:	Springer Berlin Heidelberg
Publication date:	01/12/2001
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics , #41
Edition description:	2001
Pages:	450
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

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.