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arxiv: 1312.1581 · v2 · pith:LNQDYZQNnew · submitted 2013-12-05 · 🧮 math.DG · math.MG

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

classification 🧮 math.DG math.MG
keywords compactisoperimetriclargemanifoldmathbbregionstimesboundary
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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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