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arXiv · 2303.13348

On the local maximizers of higher capacity ratios

Luca Baracco·Olga Bernardi·Christian Lange·Marco Mazzucchelli
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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 $C^3$ topology, the local maximizers of the $k$-th Ekeland-Hofer capacities are those domains symplectomorphic to suitable rational ellipsoids.

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Luca Baracco, Olga Bernardi, Christian Lange, Marco Mazzucchelli. 2023-03-23. On the local maximizers of higher capacity ratios. https://doi.org/10.2422/2036-2145.202306_002

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