Polyharmonic surfaces in 3-dimensional homogeneous spaces
S Montaldo, C Oniciuc, A Ratto - manuscripta mathematica, 2024 - Springer
In the first part of this paper we shall classify proper triharmonic isoparametric surfaces in 3-
dimensional homogeneous spaces (Bianchi-Cartan-Vranceanu spaces, shortly BCV …
dimensional homogeneous spaces (Bianchi-Cartan-Vranceanu spaces, shortly BCV …
Horizontal Delaunay surfaces with constant mean curvature in and
JM Manzano, F Torralbo - arXiv preprint arXiv:2007.06882, 2020 - arxiv.org
We obtain a $1 $-parameter family of horizontal Delaunay surfaces with positive constant
mean curvature in $\mathbb {S}^ 2\times\mathbb {R} $ and $\mathbb {H}^ 2\times\mathbb …
mean curvature in $\mathbb {S}^ 2\times\mathbb {R} $ and $\mathbb {H}^ 2\times\mathbb …
Invariant constant mean curvature tubes around a horizontal geodesic in E (κ, τ)-spaces
JM Manzano - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
We consider constant mean curvature surfaces invariant by a continuous group of isometries
and lying at bounded distance from a horizontal geodesic on any homogeneous 3-manifold …
and lying at bounded distance from a horizontal geodesic on any homogeneous 3-manifold …
Polyharmonic helices
S Montaldo, A Ratto - arXiv preprint arXiv:2404.13726, 2024 - arxiv.org
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 …
polyharmonic of order $ r $, shortly, $ r $-harmonic. We shall obtain existence, non …
Genus one -surfaces with -ends in
J Castro-Infantes, JS Santiago - Revista Matemática Iberoamericana, 2024 - ems.press
We construct two different families of properly Alexandrov-immersed surfaces in H2 R with
constant mean curvature 0< H Ä 1= 2, genus one and k 2 ends (k D 2 only for one of these …
constant mean curvature 0< H Ä 1= 2, genus one and k 2 ends (k D 2 only for one of these …