most citedRotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group H^n

17 citations · 29 across the 3 of their papers we have counts for

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math.DG2005★ 17 cited

Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group H^n

Manuel Ritoré, César Rosales

In this paper we study sets in the -dimensional Heisenberg group $\hhn$ which are critical points, under a volume constraint, of the sub-Riemannian perimeter associated to the d…

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…