Geometry Dynamics And Topology Of Foliations A First Course
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Geometry Dynamics And Topology Of Foliations A First Course
Author | : Bruno Scardua,Carlos Arnoldo Morales Rojas |
Publsiher | : World Scientific |
Total Pages | : 196 |
Release | : 2017-02-16 |
Genre | : Mathematics |
ISBN | : 9789813207097 |
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The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments.In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations.
Geometry Dynamics and Topology of Foliations
Author | : Bruno Scárdua |
Publsiher | : Unknown |
Total Pages | : 179 |
Release | : 2017 |
Genre | : Differential topology |
ISBN | : 9813207086 |
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"The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments. In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations."--Publisher's website.
Foliations and the Geometry of 3 Manifolds
Author | : Danny Calegari |
Publsiher | : Clarendon Press |
Total Pages | : 384 |
Release | : 2007-05-17 |
Genre | : Mathematics |
ISBN | : 9780191524639 |
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This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Handbook of Geometry and Topology of Singularities V Foliations
Author | : Felipe Cano |
Publsiher | : Springer Nature |
Total Pages | : 531 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9783031524813 |
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Proceedings of the Euroworkshop on Foliations Geometry and Dynamics
Author | : Paweł Grzegorz Walczak,Euroworkshop on Foliations Geometry and Dynamics |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2002 |
Genre | : Differential topology |
ISBN | : OCLC:476816544 |
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Printbegrænsninger: Der kan printes 10 sider ad gangen og max. 40 sider pr. session.
Geometry and Topology in Dynamics
Author | : Marcy Barge,Krystyna Kuperberg |
Publsiher | : American Mathematical Soc. |
Total Pages | : 268 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821855824 |
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This volume consists of the written presentations of lectures given at two special sessions: the AMS Special Session on Topology in Dynamics (Winston-Salem, NC) and the AMS-AWM Special Session on Geometry in Dynamics (San Antonio, TX). Each article concerns aspects of the topology or geometry of dynamical systems. Topics covered include the following: foliations and laminations, iterated function systems, the three-body problem, isotopy stability, homoclinic tangles, fractal dimension, Morse homology, knotted orbits, inverse limits, contact structures, Grassmanians, blowups, and continua. New results are presented reflecting current trends in topological aspects of dynamical systems. The book offers a wide variety of topics of special interest to those working this area bridging topology and dynamical systems.
A First Course in Geometric Topology and Differential Geometry
Author | : Ethan D. Bloch |
Publsiher | : Springer Science & Business Media |
Total Pages | : 433 |
Release | : 2011-06-27 |
Genre | : Mathematics |
ISBN | : 9780817681227 |
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The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.
Foliations
Author | : Lawrence Conlon,Pawel Walczak,Takashi Tsuboi |
Publsiher | : World Scientific Publishing Company |
Total Pages | : 460 |
Release | : 2002 |
Genre | : Foliations (Mathematics) |
ISBN | : 9810247966 |
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Contains surveys and research articles regarding different aspects of the theory of foliation.