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The Geometry of the Group of Symplectic Diffeomorphism
Leonid Polterovich
€ 100.84
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Description for The Geometry of the Group of Symplectic Diffeomorphism
Paperback. 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. This book includes results on diameter, geodesics and growth of one-parameter subgroups in Hofer's geometry, as well as applications to dynamics and ergodic theory. Series: Lectures in Mathematics. ETH Zurich. Num Pages: 136 pages, 2 black & white illustrations, biography. BIC Classification: PBMP; PHD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 240 x 170 x 8. Weight in Grams: 560.
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 ... Read more
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 ... Read more
Product Details
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
136
Format
Paperback
Publication date
2001
Series
Lectures in Mathematics. ETH Zurich
Condition
New
Number of Pages
136
Place of Publication
Basel, Switzerland
ISBN
9783764364328
SKU
V9783764364328
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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