On the local maximizers of higher capacity ratios
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929548000493568 |
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| author | Baracco, Luca Bernardi, Olga Lange, Christian Mazzucchelli, Marco |
| author_facet | Baracco, Luca Bernardi, Olga Lange, Christian Mazzucchelli, Marco |
| contents | We prove an analogue of the 4-dimensional local Viterbo conjecture for the higher Ekeland-Hofer capacities: on the space of 4-dimensional smooth star-shaped domains of unitary volume, endowed with the $C^3$ topology, the local maximizers of the $k$-th Ekeland-Hofer capacities are those domains symplectomorphic to suitable rational ellipsoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13348 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the local maximizers of higher capacity ratios Baracco, Luca Bernardi, Olga Lange, Christian Mazzucchelli, Marco Symplectic Geometry Differential Geometry Dynamical Systems 37J39, 53D05, 53D35 We prove an analogue of the 4-dimensional local Viterbo conjecture for the higher Ekeland-Hofer capacities: on the space of 4-dimensional smooth star-shaped domains of unitary volume, endowed with the $C^3$ topology, the local maximizers of the $k$-th Ekeland-Hofer capacities are those domains symplectomorphic to suitable rational ellipsoids. |
| title | On the local maximizers of higher capacity ratios |
| topic | Symplectic Geometry Differential Geometry Dynamical Systems 37J39, 53D05, 53D35 |
| url | https://arxiv.org/abs/2303.13348 |