42 citations · 156 across the 19 of their papers we have counts for
21 papers
Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group
Gianmarco Giovannardi, Julián Pozuelo, Manuel Ritoré
In the Heisenberg group , equipped with a left-invariant and not necessarily symmetric norm in the horizontal distribution, we provide examples of entire area-minimiz…
Area-minimizing cones in the Heisenberg group
Sebastiano Nicolussi Golo, Manuel Ritoré
We present a characterization of minimal cones of class and in the first Heisenberg group , with an additional set of examples of minimal cones that are n…
Pansu-Wulff shapes in
Julián Pozuelo, Manuel Ritoré
We consider an asymmetric left-invariant norm in the first Heisenberg group induced by a convex body containing the origin in i…
Variational formulas for submanifolds of fixed degree
Giovanna Citti, Gianmarco Giovannardi, Manuel Ritoré
We consider in this paper an area functional defined on submanifolds of fixed degree immersed into a graded manifold equipped with a Riemannian metric. Since the expression of this…
Variational formulas for curves of fixed degree
Giovanna Citti, Gianmarco Giovannardi, Manuel Ritoré
We consider a length functional for curves of fixed degree in graded manifolds equipped with a Riemannian metric. The first variation of this length functional can be compute…
Brunn-Minkowski inequalities in product metric measure spaces
Manuel Ritoré, Jesús Yepes Nicolás
Given one metric measure space satisfying a linear Brunn-Minkowski inequality, and a second one satisfying a Brunn-Minkowski inequality with exponent , we prove th…