We show the fundamental theorems of curves and surfaces in the 3-dimensional
Heisenberg group and find a complete set of invariants for curves and surfaces respectively …

We give a sufficient condition on real strictly Levi-convex hypersurfaces M, embedded in four-
dimensional Kähler manifolds V, such that Legendre duality can be performed. We consider …

This paper is a survey on bubbling phenomena occurring in some geometric problems. We
present here a few problems from conformal geometry, gauge theory and contact geometry …

In this paper we study the dynamics of the third exotic contact form of Gonzalo and Varela on
S 3 in the framework of contact form geometry. This dynamics has an impact on the …

In this work we construct a pseudo-gradient flow on a subspace Cβ of the dual Legendrian
curves on a closed contact 3-manifold. These results improve and refine earlier results …

In this paper we study contact type hypersurfaces embedded in four-dimensional Kähler
manifolds. We are interested whether the so called Legendre duality can be performed and …

In this note we will show that the injection of a suitable subspace of the space of Legendrian
loops into the full loop space is an S 1-equivariant homotopy equivalence. Moreover, since …

We investigate several questions in Potential Theory related to a class of hypoelliptic
ultraparabolic operators L with underlying homogeneous Lie group structures. Our class is …