Rigidity in the Planar Ulam Floating Body Problem with perimetral density $\sigma =\frac{1}{6}$

Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii

We study the two-dimensional Ulam's floating body problem for convex domains with perimetral density $\sigma =\frac{1}{6}$. Using the framework of Zindler carousels, we reduce the problem t…