4 papers
Anisotropic estimates of subelliptic type
Annamaria Montanari, Daniele Morbidelli
We discuss some estimates of subelliptic type related with vector fields satisfying the Hörmander condition. Our approach makes use of a class of approximate exponentials maps. Suc…
Multiexponential maps in Carnot groups with applications to convexity and differentiability
Annamaria Montanari, Daniele Morbidelli
We analyze some properties of a class of multiexponential maps appearing naturally in the geometric analysis of Carnot groups. We will see that such maps can be useful in at least…
Levi umbilical surfaces in complex space
R. Monti, D. Morbidelli
We define a complex connection on a real hypersurface of $\C^{n+1}$ which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify conne…
Stability of isometric maps in the Heisenberg group
Nicola Arcozzi, Daniele Morbidelli
In this paper we prove some approximation results for biLipschitz maps in the Heisenberg group. Namely, we show that a biLipschitz map with biLipschitz constant close to one can be…