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Cheeger sets for rotationally symmetric planar convex bodies (2402.00800v1)
Published 1 Feb 2024 in math.MG
Abstract: In this note we obtain some properties of the Cheeger set $C_\Omega$ asociated to a $k$-rotationally symmetric planar convex body $\Omega$. More precisely, we prove that $C_\Omega$ is also $k$-rotationally symmetric and touches all the edges of $\Omega$.
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