On the local maximizers of higher capacity ratios
Symplectic Geometry
2024-10-18 v1 Differential Geometry
Dynamical Systems
Abstract
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 topology, the local maximizers of the -th Ekeland-Hofer capacities are those domains symplectomorphic to suitable rational ellipsoids.
Keywords
Cite
@article{arxiv.2303.13348,
title = {On the local maximizers of higher capacity ratios},
author = {Luca Baracco and Olga Bernardi and Christian Lange and Marco Mazzucchelli},
journal= {arXiv preprint arXiv:2303.13348},
year = {2024}
}
Comments
41 pages, 1 figure