Foliations on Surfaces
By: by Igor Nikolaev
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 41; Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 41
Publisher: Springer Berlin Heidelberg
Published: 2001
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 450
ISBN-13: 9783642086984; 9783662045244
Subjects: Combinatorics; Mathematics; Cell aggregation; Global analysis
Description: 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.
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Mode of access: World Wide Web.
Table of contents: title: Foliations on 2-Manifolds; title: General Theory; title: Local Theory. Morse-Smale Foliations. Foliations Without Holonomy. Invariants of Foliations. Curves on Surfaces. Non-compact Surfaces; title: Applications; title: Ergodic Theory. Homeomorphisms of the Unit Circle. Diffeomorphisms of Surfaces. C*-Algebras. Quadratic Differentials. Flat Structures. Principal Curvature Lines. Differential Equations. Positive Differential 2-forms. Control Theory (by B. Piccoli); title: Appendix; title: Riemann Surfaces.