J. Pozuelo

activity

20192022

most citedExistence of isoperimetric regions in sub-Finsler nilpotent groups

4 citations · 6 across the 5 of their papers we have counts for

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math.DG2022

Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group $H^{1}$

Gianmarco Giovannardi, Julián Pozuelo, Manuel Ritoré

In the Heisenberg group $H^{1}$ , equipped with a left-invariant and not necessarily symmetric norm in the horizontal distribution, we provide examples of entire area-minimiz…

math.DG2021★ 4 cited

Existence of isoperimetric regions in sub-Finsler nilpotent groups

Julián Pozuelo

We consider a nilpotent Lie group with a bracket-generating distribution $\hhh$ and an asymmetric left-invariant norm $∥ \cdot ∥_{K}$ induced by a convex body $K\subseteq\hhh$ contai…

math.DG2020★ 2 cited

Pansu-Wulff shapes in $H^{1}$

Julián Pozuelo, Manuel Ritoré

We consider an asymmetric left-invariant norm $∣∣ \cdot ∣ ∣_{K}$ in the first Heisenberg group $H^{1}$ induced by a convex body $K \subset R^{2}$ containing the origin in i…

Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group H1

Existence of isoperimetric regions in sub-Finsler nilpotent groups

Pansu-Wulff shapes in H1

Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group $H^{1}$

Pansu-Wulff shapes in $H^{1}$