A. Ratto

collaborators

3 papers

math.DG2026

Existence and stability of weak critical points of $r$ -energy functionals

Stefano Montaldo, Andrea Ratto, Antonio Sanna

The main aim of this paper is to prove the existence of certain proper weakly $r$ -harmonic ( $E S - r$ -harmonic) maps. We construct critical points which belong to a family of rotation…

math.DG2026

Conformal-biharmonic hypersurfaces in spheres and product spaces

V. Branding, S. Montaldo, S. Nistor +2

The conformal-bienergy functional $E_{2}^{c}$ is a modified version of the classical bienergy functional $E_{2}$ and it is conformally invariant in the case of a four-dimensional domain.…

math.DG2025

Polyharmonic curves in semi-Riemannian manifolds

Stefano Montaldo, Andrea Ratto, Antonio Sanna

Let $(M_{t}^{m}, g)$ be a semi-Riemannian manifold of dimension $m$ with a non-degenerate metric of \textit{index} $t$ , $m \geq 2$ , $1 \leq t \leq m - 1$ . The main aim of this paper is to…

Existence and stability of weak critical points of r-energy functionals

Conformal-biharmonic hypersurfaces in spheres and product spaces

Polyharmonic curves in semi-Riemannian manifolds

Existence and stability of weak critical points of $r$ -energy functionals