We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically homogeneous
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The...
We give a self-contained analytical proof of Hörmander's hypoellipticity theorem in the case of left...
We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geome...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
This work is devoted to metric lines (isometric embedding of the real line) in metabelian Carnot gro...
This version: 14.06.2012 Gromov proposed to extract the (differential) geometric content of a sub-ri...
In Carnot groups of step ≤ 3, all subriemannian geodesics are proved to be normal. The pr...
The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub...
summary:This paper is meant as a (short and partial) introduction to the study of the geometry of Ca...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The...
We give a self-contained analytical proof of Hörmander's hypoellipticity theorem in the case of left...
We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geome...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equippe...
This work is devoted to metric lines (isometric embedding of the real line) in metabelian Carnot gro...
This version: 14.06.2012 Gromov proposed to extract the (differential) geometric content of a sub-ri...
In Carnot groups of step ≤ 3, all subriemannian geodesics are proved to be normal. The pr...
The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub...
summary:This paper is meant as a (short and partial) introduction to the study of the geometry of Ca...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The...
We give a self-contained analytical proof of Hörmander's hypoellipticity theorem in the case of left...
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