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Foliations on Surfaces de Igor Nikolaev

Foliations on Surfaces: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, cartea 41

Autor Igor Nikolaev
en Limba Engleză Hardback – dec 2000
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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Specificații

ISBN-13: 9783540675242
ISBN-10: 3540675248
Pagini: 480
Ilustrații: XXVI, 450 p.
Dimensiuni: 155 x 235 x 31 mm
Greutate: 0.84 kg
Ediția:2001
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Caracteristici

A comprehensive, encyclopedic approach to the subject The book is devoted to geometry and topology of surface foliations There are many links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry The book is addressed to graduate students and researchers in the field Includes supplementary material: sn.pub/extras