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050 0 0 _aQA613.62
_b.N54 2001
100 1 _aNikolaev, Igor,
_d1961-
_937855
245 1 0 _aFoliations on Surfaces /
_cIgor Nikolaev.
260 _aBerlin ;
_aNew York :
_bSpringer,
_cc2001.
300 _axxvi, 450 p. :
_bill. ;
_c24 cm.
504 _aIncludes bibliographical references (p. [431]-446) and index.
505 _aFoliations 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.
520 _aFoliations 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.
650 0 _aFoliations (Mathematics)
_937856
650 0 _aManifolds (Mathematics)
_931254
942 _2lcc
_n0
_cBK
999 _c16824
_d16824