Cheeger sets for rotationally symmetric planar convex bodies

Antonio Cañete

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arXiv · 2402.00800

Cheeger sets for rotationally symmetric planar convex bodies

Antonio Cañete

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Abstract

In this note we obtain some properties of the Cheeger set $C_Ω$ asociated to a $k$-rotationally symmetric planar convex body $Ω$. More precisely, we prove that $C_Ω$ is also $k$-rotationally symmetric and touches all the edges of $Ω$.

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BibTeX RIS

Antonio Cañete. 2024-02-01. Cheeger sets for rotationally symmetric planar convex bodies. https://arxiv.org/abs/2402.00800

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