9 citations · 34 across the 21 of their papers we have counts for
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Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries
Bennett Palmer, Alvaro Pampano
We study critical surfaces for a surface energy which contains the squared norm of the difference of the mean curvature and the spontaneous curvature , coupled to th…
On the Existence of Closed Biconservative Surfaces in Space Forms
Stefano Montaldo, Alvaro Pampano
Biconservative surfaces of Riemannian 3-space forms , are either constant mean curvature (CMC) surfaces or rotational linear Weingarten surfaces verifying the relation $3κ_…
Triharmonic Curves in 3-Dimensional Homogeneous Spaces
Stefano Montaldo, Alvaro Pampano
We first prove that, unlike the biharmonic case, there exist triharmonic curves with nonconstant curvature in a suitable Riemannian manifold of arbitrary dimension. We then give th…
Rotational surfaces of constant astigmatism in space forms
Rafael López, Álvaro Pámpano
A surface in a Riemannian space is called of constant astigmatism if the difference between the principal radii of curvatures at each point is a constant function. In this paper we…
Classification of rotational surfaces with constant skew curvature in 3-space forms
Rafael López, Álvaro Pámpano
In this paper, we classify the rotational surfaces with constant skew curvature in -space forms. We also give a variational characterization of the profile curves of these surfa…