On the local maximizers of higher capacity ratios - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

On the local maximizers of higher capacity ratios

Résumé

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.

Dates et versions

hal-04225733 , version 1 (03-10-2023)

Identifiants

Citer

Luca Baracco, Olga Bernardi, Christian Lange, Marco Mazzucchelli. On the local maximizers of higher capacity ratios. 2023. ⟨hal-04225733⟩
9 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More