Maksim Kosmakov

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math.MG2026

Rigidity in the planar Ulam floating body problem with perimetral densities $I ¨ = \frac{1}{8}, \frac{3}{8}$ under central symmetry

Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii

We prove that the only planar, centrally symmetric, strictly convex body $K \subset R^{2}$ with $C^{1}$ boundary that floats in equilibrium in every orientation for the perimetr…

math.MG2026

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

Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii

We study the two-dimensional Ulam's floating body problem for convex domains with perimetral density $I ¨ = \frac{1}{6}$ . Using the framework of Zindler carousels, we reduce the problem…

Rigidity in the planar Ulam floating body problem with perimetral densities I¨=81​,83​ under central symmetry

Rigidity in the Planar Ulam Floating Body Problem with perimetral density I¨=61​

Rigidity in the planar Ulam floating body problem with perimetral densities $I ¨ = \frac{1}{8}, \frac{3}{8}$ under central symmetry

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