Symplectic Geometry and Analytical Mechanics, P. Libermann; Charles-Michel Marle

Автор: Parker, Christopher Rowley, Peter
Название: Symplectic amalgams
ISBN: 1447110889 ISBN-13(EAN): 9781447110880
Издательство: Springer
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Описание: The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. The classification touches on many important aspects of modern group theory: * p-local analysis * the amalgam method * representation theory over finite fields; and * properties of the finite simple groups.

Автор: Franco Cardin
Название: Elementary Symplectic Topology and Mechanics
ISBN: 331911025X ISBN-13(EAN): 9783319110257
Издательство: Springer
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Описание: This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics.

Автор: Michele Audin; Jacques Lafontaine
Название: Holomorphic Curves in Symplectic Geometry
ISBN: 3034896565 ISBN-13(EAN): 9783034896566
Издательство: Springer
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Автор: Leonid Polterovich
Название: The Geometry of the Group of Symplectic Diffeomorphism
ISBN: 3764364327 ISBN-13(EAN): 9783764364328
Издательство: Springer
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Описание: The group of Hamiltonian diffeomorphisms Ham(M, 0) of a symplectic mani fold (M, 0) plays a fundamental role both in geometry and classical mechanics. They turn out to be very different from the usual circle of problems considered in symplectic topology and thus extend significantly our vision of the symplectic world.

Автор: Yiming Long
Название: Index Theory for Symplectic Paths with Applications
ISBN: 303489466X ISBN-13(EAN): 9783034894661
Издательство: Springer
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Описание: This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems.

Автор: Daniele Angella; Costantino Medori; Adriano Tomass
Название: Complex and Symplectic Geometry
ISBN: 3319629131 ISBN-13(EAN): 9783319629131
Издательство: Springer
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Описание: This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the cohomology of complex manifolds;

Автор: Gert Sabidussi; Jacques Hurtubise; Fran?ois Lalond
Название: Gauge Theory and Symplectic Geometry
ISBN: 0792345002 ISBN-13(EAN): 9780792345008
Издательство: Springer
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Описание: Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. This book includes some of the first expository material of Seiberg-Witten theory, which has revolutionized the subjects since its introduction in late 1994.

Автор: Eguchi
Название: Symplectic, Poisson, and Noncommutative Geometry
ISBN: 1107056411 ISBN-13(EAN): 9781107056411
Издательство: Cambridge Academ
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Описание: This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics.

Автор: Pierre Dazord; Alan Weinstein
Название: Symplectic Geometry, Groupoids, and Integrable Systems
ISBN: 1461397219 ISBN-13(EAN): 9781461397212
Издательство: Springer
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Автор: Izu Vaisman
Название: Symplectic Geometry and Secondary Characteristic Classes
ISBN: 1475719620 ISBN-13(EAN): 9781475719628
Издательство: Springer
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Описание: Tondeur (43], and it indicates that the Maslov class is a secondary characteristic class of a complex trivial vector bundle endowed with a real reduction of its structure group. Arnold about the Maslov class (2], it is also pointed out without details that the Maslov class is characteristic in the category of vector bundles mentioned pre- viously.

Автор: B. Aebischer; M. Borer; M. K?lin; C. Leuenberger;
Название: Symplectic Geometry
ISBN: 3034875142 ISBN-13(EAN): 9783034875141
Издательство: Springer
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Описание: The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis.