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

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Manuel RitorĂ©
(Universidad Granada)

created by paolini on 02 Jun 2014

20 jun 2014
-- 11:00
[open in google calendar]

**Abstract.**

Given a compact Riemannian manifold $M$ without boundary, we show that large isoperimetric regions in the Riemannian product $M \times \mathbb R^k$ of $M$ with the $k$-dimensional Euclidean space $\mathbb R^k$ are tubular neighborhoods of $M \times x$, $x\in\mathbb R^k$.