6 papers
Existence and stability of weak critical points of -energy functionals
Stefano Montaldo, Andrea Ratto, Antonio Sanna
The main aim of this paper is to prove the existence of certain proper weakly -harmonic (-harmonic) maps. We construct critical points which belong to a family of rotation…
Conformal-biharmonic hypersurfaces in spheres and product spaces
V. Branding, S. Montaldo, S. Nistor +2
The conformal-bienergy functional is a modified version of the classical bienergy functional and it is conformally invariant in the case of a four-dimensional domain.…
Biconservative Weingarten surfaces with flat normal bundle in
Åtefan Andronic, Stefano Montaldo, Cezar Oniciuc +1
In this paper, we extend our investigation of the class of biconservative surfaces with non-constant mean curvature in 4-dimensional space forms . Specifically, we focus o…
Polyharmonic curves in semi-Riemannian manifolds
Stefano Montaldo, Andrea Ratto, Antonio Sanna
Let be a semi-Riemannian manifold of dimension with a non-degenerate metric of \textit{index} , , . The main aim of this paper is to…
An Invitation to Biharmonic and Biconservative Submanifolds
Stefano Montaldo
This note is based on a lecture delivered by the author at the Second Conference on Differential Geometry, held in Fez in October 2024. It offers an accessible introduction to biha…
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…