A translation of "The Geometry of the Group of Symplectic Diffeomorphisms"
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911230987337728 |
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| author | Polterovich, Leonid |
| author_facet | Polterovich, Leonid |
| contents | This book offers an introduction to Hofer's metric on the group of Hamiltonian diffeomorphisms. It presents results on the diameter, geodesics, and the growth of one-parameter subgroups, along with applications to dynamics and ergodic theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21856 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A translation of "The Geometry of the Group of Symplectic Diffeomorphisms" Polterovich, Leonid Differential Geometry Dynamical Systems Symplectic Geometry 53D35, 22E65, 37J05, 37J10, 53D40, 57R17, 70H15 This book offers an introduction to Hofer's metric on the group of Hamiltonian diffeomorphisms. It presents results on the diameter, geodesics, and the growth of one-parameter subgroups, along with applications to dynamics and ergodic theory. |
| title | A translation of "The Geometry of the Group of Symplectic Diffeomorphisms" |
| topic | Differential Geometry Dynamical Systems Symplectic Geometry 53D35, 22E65, 37J05, 37J10, 53D40, 57R17, 70H15 |
| url | https://arxiv.org/abs/2510.21856 |