5 citations · 5 across the 4 of their papers we have counts for
4 papers
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 , shortly, -harmonic. We shall obtain existence, non-existence an…
Triharmonic curves in the 3-dimensional Sol space
Stefano Montaldo, Andrea Ratto
The main aim of this paper is to study triharmonic curves in the 3-dimensional homogeneous space Sol. In the first part of the paper we shall obtain a complete classification of pr…
New examples of r-harmonic immersions into the sphere
Stefano Montaldo, Andrea Ratto
Polyharmonic, or -harmonic, maps are a natural generalization of harmonic maps whose study was proposed by Eells-Lemaire in 1983. The main aim of this paper is to construct new…
Reduction methods for the bienergy
Stefano Montaldo, Cezar Oniciuc, Andrea Ratto
This paper, in which we develop ideas introduced in \cite{MR}, focuses on \emph{reduction methods} (basically, group actions or, more generally, simmetries) for the bienergy. This…