In the Heisenberg group H^n we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities are shown for suitably restricted classes of competing sets and the proof relies on the construction of sub-calibrations
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
Abstract. We prove that the natural generalization of the Brunn{Minkowski inequality in the Heisenbe...
The Isoperimetric Inequality has many different proofs using methods from diverse mathematical field...
It has been recently conjectured that, in the context of the Heisenberg groupHn endowed with its Car...
This thesis is dedicated to the study of isoperimetric inequalities in some Carnot-Carathéodory spac...
. We show that the Heisenberg groups H 2n+1 of dimension five and higher, considered as Riemannia...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
In the sub-Riemannian Heisenberg group equipped with its Carnot-Caratheodory metric and with a Haar ...
We present some recent stability results concerning the isoperimetric inequality and other related g...
We introduce a new variational method for the study of isoperimetric inequalities with quantitative ...
We study the isoperimetric problem for anisotropic perimeter measures on R3, endowed with the Heisen...
We study the isoperimetric problem for anisotropic left-invariant perimeter measures on $\mathbb R^3...
Abstract. We formulate the isoperimetric problem for the class of C2 smooth cylindrically symmetric ...
We prove quantitative stability of isometries on the first Heisenberg group with sub-Riemannian geom...
We establish the validity of a quantitative isoperimetric inequality in higher codimension. To be pr...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
Abstract. We prove that the natural generalization of the Brunn{Minkowski inequality in the Heisenbe...
The Isoperimetric Inequality has many different proofs using methods from diverse mathematical field...
It has been recently conjectured that, in the context of the Heisenberg groupHn endowed with its Car...
This thesis is dedicated to the study of isoperimetric inequalities in some Carnot-Carathéodory spac...
. We show that the Heisenberg groups H 2n+1 of dimension five and higher, considered as Riemannia...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
In the sub-Riemannian Heisenberg group equipped with its Carnot-Caratheodory metric and with a Haar ...
We present some recent stability results concerning the isoperimetric inequality and other related g...
We introduce a new variational method for the study of isoperimetric inequalities with quantitative ...
We study the isoperimetric problem for anisotropic perimeter measures on R3, endowed with the Heisen...
We study the isoperimetric problem for anisotropic left-invariant perimeter measures on $\mathbb R^3...
Abstract. We formulate the isoperimetric problem for the class of C2 smooth cylindrically symmetric ...
We prove quantitative stability of isometries on the first Heisenberg group with sub-Riemannian geom...
We establish the validity of a quantitative isoperimetric inequality in higher codimension. To be pr...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
Abstract. We prove that the natural generalization of the Brunn{Minkowski inequality in the Heisenbe...
The Isoperimetric Inequality has many different proofs using methods from diverse mathematical field...