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Integrable Systems And Foliations


Integrable Systems And Foliations
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Integrable Systems And Foliations


Integrable Systems And Foliations
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Author : Claude Albert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Integrable Systems And Foliations written by Claude Albert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The articles in this volume are an outgrowth of a colloquium "Systemes Integrables et Feuilletages," which was held in honor of the sixtieth birthday of Pierre Molino. The topics cover the broad range of mathematical areas which were of keen interest to Molino, namely, integral systems and more generally symplectic geometry and Poisson structures, foliations and Lie transverse structures, transitive structures, and classification problems.



Integrable Systems And Foliations


Integrable Systems And Foliations
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Author : Claude Albert
language : en
Publisher:
Release Date : 1997-01-01

Integrable Systems And Foliations written by Claude Albert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with categories.




Integrable And Superintegrable Systems


Integrable And Superintegrable Systems
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Author : Boris A. Kupershmidt
language : en
Publisher: World Scientific
Release Date : 1990

Integrable And Superintegrable Systems written by Boris A. Kupershmidt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.



Symplectic Geometry Groupoids And Integrable Systems


Symplectic Geometry Groupoids And Integrable Systems
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Author : Pierre Dazord
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Symplectic Geometry Groupoids And Integrable Systems written by Pierre Dazord and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The papers, some of which are in English, the rest in French, in this volume are based on lectures given during the meeting of the Seminare Sud Rhodanien de Geometrie (SSRG) organized at the Mathematical Sciences Research Institute in 1989. The SSRG was established in 1982 by geometers and mathematical physicists with the aim of developing and coordinating research in symplectic geometry and its applications to analysis and mathematical physics. Among the subjects discussed at the meeting, a special role was given to the theory of symplectic groupoids, the subject of fruitful collaboration involving geometers from Berkeley, Lyon, and Montpellier.



Integrable Systems And Algebraic Geometry


Integrable Systems And Algebraic Geometry
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Author : Ron Donagi
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-02

Integrable Systems And Algebraic Geometry written by Ron Donagi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-02 with Mathematics categories.


A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.



Integrable Hamiltonian Systems


Integrable Hamiltonian Systems
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Author : A.V. Bolsinov
language : en
Publisher: CRC Press
Release Date : 2004-02-25

Integrable Hamiltonian Systems written by A.V. Bolsinov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-25 with Mathematics categories.


Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors,



Topological Classification Of Integrable Systems


Topological Classification Of Integrable Systems
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Author : A. T. Fomenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1991

Topological Classification Of Integrable Systems written by A. T. Fomenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Differential equations categories.




Geometry Dynamics And Topology Of Foliations A First Course


Geometry Dynamics And Topology Of Foliations A First Course
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Author : Bruno Scardua
language : en
Publisher: World Scientific
Release Date : 2017-02-16

Geometry Dynamics And Topology Of Foliations A First Course written by Bruno Scardua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-16 with Mathematics categories.


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.



Introduction To Foliations And Lie Groupoids


Introduction To Foliations And Lie Groupoids
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Author : I. Moerdijk
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-18

Introduction To Foliations And Lie Groupoids written by I. Moerdijk and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-18 with Mathematics categories.


This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.



Foliations 2012 Proceedings Of The International Conference


Foliations 2012 Proceedings Of The International Conference
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Author : Jesus A Alvarez Lopez
language : en
Publisher: World Scientific
Release Date : 2013-10-25

Foliations 2012 Proceedings Of The International Conference written by Jesus A Alvarez Lopez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-25 with Mathematics categories.


This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference “FOLIATIONS 2012”. It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research.