Francisco Torralbo

activity

20072024

most citedHorizontal Delaunay surfaces with constant mean curvature in

S^{2} \times R

and

H^{2} \times R

7 citations · 44 across the 17 of their papers we have counts for

collaborators

17 papers

math.DG2024

Invariant constant mean curvature tubes in homogeneous spaces

Philipp Käse, Francisco Torralbo

We study the global geometry of families of tubes of constant mean curvature invariant under screw-motions in homogeneous $E (κ, τ)$ -spaces. In particular, we study embedded…

math.DG2022★ 2 cited

Conjugate Plateau constructions in product spaces

Jesús Castro-Infantes, José M. Manzano, Francisco Torralbo

This survey paper investigates, from a purely geometric point of view, Daniel's isometric conjugation between minimal and constant mean curvature surfaces immersed in homogeneous R…

math.DG2021

Index of compact minimal submanifolds of the Berger spheres

Francisco Torralbo, Francisco Urbano

The stability and the index of compact minimal submanifolds of the Berger spheres $S_{τ}^{2 n + 1}, 0 < τ \leq 1$ , are studied. Unlike the case of the standard sphere ( $τ = 1$ ), w…

math.DG2020★ 7 cited

Horizontal Delaunay surfaces with constant mean curvature in $S^{2} \times R$ and $H^{2} \times R$

José M. Manzano, Francisco Torralbo

We obtain a $1$ -parameter family of horizontal Delaunay surfaces with positive constant mean curvature in $S^{2} \times R$ and $H^{2} \times R$ , being t…

math.DG2019

Rotationally invariant constant Gauss curvature surfaces in Berger spheres

Francisco Torralbo, Joeri Van der Veken

We give a full classification of complete rotationally invariant surfaces with constant Gauss curvature in Berger spheres: they are either Clifford tori, which are flat, or spheres…

math.DG2018★ 5 cited

Compact embedded surfaces with constant mean curvature in $S^{2} \times R$