Artículos relacionados a The Geometry of the Group of Symplectic Diffeomorphisms...
The Geometry of the Group of Symplectic Diffeomorphisms (Lectures in Mathematics. ETH Zürich) - Tapa blanda
Sinopsis
Book by Polterovich Leonid
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
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. For a geometer, at least under some assumptions on the manifold M, this is just the connected component of the identity in the group of all symplectic diffeomorphisms. From the viewpoint of mechanics, Ham(M,O) is the group of all admissible motions. What is the minimal amount of energy required in order to generate a given Hamiltonian diffeomorphism I? An attempt to formalize and answer this natural question has led H. Hofer [HI] (1990) to a remarkable discovery. It turns out that the solution of this variational problem can be interpreted as a geometric quantity, namely as the distance between I and the identity transformation. Moreover this distance is associated to a canonical biinvariant metric on Ham(M, 0). Since Hofer's work this new ge ometry has been intensively studied in the framework of modern symplectic topology. In the present book I will describe some of these developments. Hofer's geometry enables us to study various notions and problems which come from the familiar finite dimensional geometry in the context of the group of Hamiltonian diffeomorphisms. 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.
Reseña del editor
The group of symplectic diffeomorphisms of a symplectic manifold plays a fundamental role both in geometry and classical mechanics. What is the minimal amount of energy required in order to generate a given mechanical motion? This variational problem admits an interpretation in terms of a remarkable geometry on the group discovered by Hofer in 1990. Hofer's geometry serves as a source of interesting problems and gives rise to new methods and notions which extend significantly our vision of the symplectic world. In the past decade this new geometry has been intensively studied in the framework of symplectic topology with the use of modern techniques such as Gromov's theory of pseudo-holomorphic curves, Floer homology and Guillemin-Sternberg-Lerman theory of symplectic connections. Furthermore, it opens up the intriguing prospect of using an alternative geometric intuition in dynamics. The book provides an essentially self-contained introduction into these developments and includes recent results on diameter, geodesics and growth of one-parameter subgroups in Hofer's geometry, as well as applications to dynamics and ergodic theory. It is addressed to researchers and students from the graduate level onwards.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialSpringer
- Año de publicación2009
- ISBN 10 3764364327
- ISBN 13 9783764364328
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas148
EUR 49,80
EUR 16,00 gastos de envío desde Alemania a Estados Unidos de America
Destinos, gastos y plazos de envíoComprar nuevo
Ver este artículo
EUR 61,44
EUR 3,97 gastos de envío en Estados Unidos de America
Destinos, gastos y plazos de envíoOtras ediciones populares con el mismo título
Resultados de la búsqueda para The Geometry of the Group of Symplectic Diffeomorphisms...
Imagen de archivo
The Geometry of the Group of Symplectic Diffeomorphism (Lectures in Mathematics. ETH Zurich)
Librería: Zubal-Books, Since 1961, Cleveland, OH, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. 148 pp., Paperback, new. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Nº de ref. del artículo: ZB1272192
Cantidad disponible: 1 disponibles
Imagen del vendedor
The geometry of the group of symplectic diffeomorphism.
Publicado por
Basel, Birkhäuser, 2001
ISBN 10: 3764364327
ISBN 13: 9783764364328
Antiguo o usado
Softcover
Librería: Antiquariat Bookfarm, Löbnitz, Alemania
Calificación del vendedor: 5 de 5 estrellas
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02196 9783764364328 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2488043
Gastos de envío:
EUR 16,00
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles
Imagen de archivo
Lectures in Mathematics. ETH Zürich: The Geometry of the Group of Symplectic Diffeomorphism
Publicado por
Birkhäuser, 2001
ISBN 10: 3764364327
ISBN 13: 9783764364328
Antiguo o usado
Tapa blanda
Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9783764364328. Nº de ref. del artículo: 3898057
Gastos de envío:
EUR 13,92
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles
Imagen del vendedor
The Geometry of the Group of Symplectic Diffeomorphisms.
Publicado por
Zürich: Birkhäuser, 2009
ISBN 10: 3764364327
ISBN 13: 9783764364328
Antiguo o usado
Paperback
Original o primera edición
Librería: Plurabelle Books Ltd, Cambridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: As New. Series: Lectures in Mathematics. xii 132p slim paperback, shiny moss-green cover, like new condition, tight binding, no noticeable wear, all pages clean and bright like new, clear and sharp mathematical notation throughout, a splendid unused copy Language: English Weight (g): 560. Nº de ref. del artículo: 233351
Gastos de envío:
EUR 9,38
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles
Imagen de archivo
The Geometry of the Group of Symplectic Diffeomorphism
Librería: Chiron Media, Wallingford, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9783764364328
Gastos de envío:
EUR 18,16
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 10 disponibles
Imagen de archivo
The Geometry of the Group of Symplectic Diffeomorphism (Lectures in Mathematics. ETH Zürich)
Librería: California Books, Miami, FL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: I-9783764364328
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
The Geometry of the Group of Symplectic Diffeomorphism (Lectures in Mathematics. ETH Zürich)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In. Nº de ref. del artículo: ria9783764364328_new
Gastos de envío:
EUR 14,04
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
The Geometry of the Group of Symplectic Diffeomorphism
Publicado por
Birkhäuser Basel, 2001
ISBN 10: 3764364327
ISBN 13: 9783764364328
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 148 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 679924/2
Gastos de envío:
EUR 45,00
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles
Imagen del vendedor
The Geometry of the Group of Symplectic Diffeomorphism
Publicado por
Springer, Basel, Birkhäuser Basel, Birkhäuser Mrz 2001, 2001
ISBN 10: 3764364327
ISBN 13: 9783764364328
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. For a geometer, at least under some assumptions on the manifold M, this is just the connected component of the identity in the group of all symplectic diffeomorphisms. From the viewpoint of mechanics, Ham(M,O) is the group of all admissible motions. What is the minimal amount of energy required in order to generate a given Hamiltonian diffeomorphism I An attempt to formalize and answer this natural question has led H. Hofer [HI] (1990) to a remarkable discovery. It turns out that the solution of this variational problem can be interpreted as a geometric quantity, namely as the distance between I and the identity transformation. Moreover this distance is associated to a canonical biinvariant metric on Ham(M, 0). Since Hofer's work this new ge ometry has been intensively studied in the framework of modern symplectic topology. In the present book I will describe some of these developments. Hofer's geometry enables us to study various notions and problems which come from the familiar finite dimensional geometry in the context of the group of Hamiltonian diffeomorphisms. 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. 136 pp. Englisch. Nº de ref. del artículo: 9783764364328
Gastos de envío:
EUR 23,00
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 2 disponibles
Imagen del vendedor
The Geometry of the Group of Symplectic Diffeomorphism
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. For a geometer, at least under some assumptions on the manifold M, this is just the connected component of the identity in the group of all symplectic diffeomorphisms. From the viewpoint of mechanics, Ham(M,O) is the group of all admissible motions. What is the minimal amount of energy required in order to generate a given Hamiltonian diffeomorphism I An attempt to formalize and answer this natural question has led H. Hofer [HI] (1990) to a remarkable discovery. It turns out that the solution of this variational problem can be interpreted as a geometric quantity, namely as the distance between I and the identity transformation. Moreover this distance is associated to a canonical biinvariant metric on Ham(M, 0). Since Hofer's work this new ge ometry has been intensively studied in the framework of modern symplectic topology. In the present book I will describe some of these developments. Hofer's geometry enables us to study various notions and problems which come from the familiar finite dimensional geometry in the context of the group of Hamiltonian diffeomorphisms. 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. Nº de ref. del artículo: 9783764364328
Gastos de envío:
EUR 29,31
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles