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arXiv · 1312.1581

Large isoperimetric regions in the product of a compact manifold with Euclidean space

Manuel Ritoré·Efstratios Vernadakis
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Abstract

Given a compact Riemannian manifold $M$ without boundary, we show that large isoperimetric regions in $M\times\mathbb{R}^k$ are tubular neighborhoods of $M\times\{x\}$, with $x\in\mathbb{R}^k$.

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Manuel Ritoré, Efstratios Vernadakis. 2013-12-05. Large isoperimetric regions in the product of a compact manifold with Euclidean space. https://doi.org/10.1016/j.aim.2016.11.001

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