Paola Piu

SO(2)-invariant minimal and constant mean curvature surfaces in 3-dimensional homogeneous spaces

We study SO(2)-invariant minimal and constant mean curvature surfaces in R3 endowed with a homogenous Riemannian metric whose group of isometries has dimension greater or equal to 4.

Classification des métriques invariantes à gauche sur le groupe de Heisenberg

We give the classification, up to automorphisms, of the left invariant metrics on the Heisenberg group. We determine the Riemannian curvature tensor, the Killing vector fields for these metrics and the minimal codimension of the totaly geodesic submanifolds.

Une caractérisation Riemannienne du groupe de Heisenberg

We study the left-invariant Riemannian metrics on a class of models of nilpotent Lie groups. In particular we prove that the Heisenberg groups are, up to local isomorphism, the only nilpotent non-decomposable Lie groups endowed with a homogeneous Riemannian naturally reductive space for every left invariant metric.

On the Riemannian geometry of the nilpotent groups H (p,r)

We study some aspect of the left-invariant Riemannian geometry on a class of nilpotent Lie groups H(p, r) that generalize the Heisenberg group H 2p+1 . Let us prove that the groups of type H (or Kaplans spaces) and the H(p, r) groups have same common Riemannian properties but they are not the same spaces

Invariant submanifolds of metric contact pairs

We show that

Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor

\phi

The Euler-Lagrange Method for Biharmonic Curves

ϕ-invariant submanifolds of metric contact pairs with orthogonal characteristic foliations make constant angles with the Reeb vector fields. Our main result is that for the normal case such submanifolds of dimension at least 2 are all minimal. We prove that an odd-dimensional