Foliations on Surfaces / Igor Nikolaev.
Material type:
TextPublication details: Berlin ; New York : Springer, c2001.Description: xxvi, 450 p. : ill. ; 24 cmISBN: - 3540675248
- QA613.62 .N54 2001
| Item type | Current library | Call number | Copy number | Status | Barcode | |
|---|---|---|---|---|---|---|
| Books | Library First Floor | QA613.62 .N54 2001 (Browse shelf(Opens below)) | 1 | Available | 8754 |
Browsing Library shelves, Shelving location: First Floor Close shelf browser (Hides shelf browser)
| QA613.2 .L44 2000 Introduction to topological manifolds / | QA613.618 .M54 1974 Characteristic Classes, | QA613.618 .Z43 2001 Lectures on Chern-Weil theory and Witten Deformations / | QA613.62 .N54 2001 Foliations on Surfaces / | QA614.3 .B53 2001 Riemannian Geometry of Contact and Symplectic Manifolds / | QA614.3 .W45 2008 Differential Analysis on Complex Manifolds / | QA614.8 .K38 1995 Introduction to the modern theory of dynamical systems / |
Includes bibliographical references (p. [431]-446) and index.
Foliations on 2-Manifolds.- General Theory.- Local Theory. Morse-Smale Foliations. Foliations Without Holonomy. Invariants of Foliations. Curves on Surfaces. Non-compact Surfaces.- Applications.- 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).- Appendix.- Riemann 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.
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