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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