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

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 $M \times x$, $x\in\mathbb R^k$.