A. Ratto

activity

20092026

most citedHigher order energy functionals

32 citations · 118 across the 17 of their papers we have counts for

collaborators

23 papers

math.DG2026

Biconservative and Biharmonic Hypersurfaces in Product Spaces

V. Branding, S. Montaldo, C. Oniciuc +1

In this paper we investigate biconservative and biharmonic hypersurfaces in product spaces $L^{m} (ε) \times R$ , where $L^{m} (ε)$ denotes the space form ${\…

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.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…

math.DG2025

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.DG2024

Polyharmonic helices

Stefano Montaldo, Andrea Ratto

The main aim of this paper is to investigate the existence of Frenet helices which are polyharmonic of order $r$ , shortly, $r$ -harmonic. We shall obtain existence, non-existence an…