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math.DS2023★ 4 cited
Totally integrable symplectic billiards are ellipses
Luca Baracco, Olga Bernardi
In this paper we prove that a totally integrable strictly-convex symplectic billiard table, whose boundary has everywhere strictly positive curvature, must be an ellipse. The proof…
math.SG2023
On the local maximizers of higher capacity ratios
Luca Baracco, Olga Bernardi, Christian Lange +1
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 volu…