Efstratios Vernadakis

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20132025

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

13 citations · 16 across the 4 of their papers we have counts for

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math.DG2025

Isoperimetric Regions in Anisotropically Scaled Product Manifolds

Efstratios Vernadakis

Let $M, N$ be compact Riemannian manifolds. Then, for fixed volume fraction, in the product of a sufficiently small homothetic copy of $M$ with $N$ , every isoperimetric region is t…

math.DG2014

Isoperimetric inequalities in conically bounded convex bodies

Manuel Ritoré, Efstratios Vernadakis

In this paper we consider the problem of minimizing the relative perimeter under a volume constraint in the interior of a conically bounded convex set, i.e., an unbounded convex bo…

math.DG2014★ 2 cited

Isoperimetric inequalities in convex cylinders and cylindrically bounded convex bodies

Manuel Ritoré, Efstratios Vernadakis

In this paper we consider the isoperimetric profile of convex cylinders $K \times R^{q}$ , where $K$ is an $m$ -dimensional convex body, and of cylindrically bounded convex sets…

math.DG2013★ 13 cited

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

Manuel Ritoré, Efstratios Vernadakis

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