30 citations · 87 across the 21 of their papers we have counts for
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math.DG2003★ 6 cited
Some isoperimetric comparison theorems for convex bodies in Riemannian manifolds
Vincent Bayle, César Rosales
We prove that the isoperimetric profile of a convex domain with compact closure in a Riemannian manifold satisfies a second order differential inequality which on…
math.DG2003★ 6 cited
Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones
Manuel Ritoré, César Rosales
We study the problem of existence of regions separating a given amount of volume with the least possible perimeter inside a Euclidean cone. Our main result shows that nonexistence…