Conjugate plateau constructions in product spaces

J Castro-Infantes, JM Manzano, F Torralbo - New Trends in Geometric …, 2023 - Springer
This survey paper investigates, from a purely geometric point of view, Daniel's isometric
conjugation between minimal and constant mean curvature surfaces immersed in …

Isoparametric surfaces in -spaces

M Domínguez-Vázquez, JM Manzano - arXiv preprint arXiv:1803.06154, 2018 - arxiv.org
We provide an explicit classification of the following four families of surfaces in any
homogeneous 3-manifold with 4-dimensional isometry group: isoparametric surfaces …

Inhomogeneous generalization of Einstein's static universe with Sasakian space

H Ishihara, S Matsuno - Progress of Theoretical and …, 2022 - academic.oup.com
We construct exact static inhomogeneous solutions to Einstein's equations with counter flow
of particle fluid and a positive cosmological constant by using the Sasaki metrics on three …

Compact stable surfaces with constant mean curvature in Killing submersions

AM Lerma, JM Manzano - Annali di Matematica Pura ed Applicata (1923-), 2017 - Springer
A Killing submersion is a Riemannian submersion from a 3-manifold to a surface, both
connected and orientable, whose fibers are the integral curves of a Killing vector field, not …

Height and Area Estimates for Constant Mean Curvature Graphs in -Spaces

JM Manzano, B Nelli - The Journal of Geometric Analysis, 2017 - Springer
We obtain area growth estimates for constant mean curvature graphs in E (κ, τ) E (κ, τ)-
spaces with κ ≤ 0 κ≤ 0, by finding sharp upper bounds for the volume of geodesic balls in E …

A Construction of Constant Mean Curvature Surfaces in ℍ2 × ℝ and the Krust Property

J Castro-Infantes, JM Manzano… - International …, 2022 - academic.oup.com
We show the existence of a-parameter family of properly Alexandrov-embedded surfaces
with constant mean curvature in. They are symmetric with respect to a horizontal slice and …

Stationary–Complete Spacetimes with non-standard splittings and pre-Randers metrics

J Herrera, MA Javaloyes - Journal of Geometry and Physics, 2021 - Elsevier
Using the relativistic Fermat's principle, we establish a bridge between stationary–complete
manifolds which satisfy the observer-manifold condition and pre-Randers metrics, namely …

Critical tori for mean curvature energies in Killing submersions

Á Pámpano - Nonlinear Analysis, 2020 - Elsevier
We study surface energies depending on the mean curvature in total spaces of Killing
submersions, which extend the classical notion of Willmore energy. Based on a symmetry …

On the asymptotic Plateau problem in SL˜ 2 (R)

J Castro-Infantes - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
We prove some non-existence results for the asymptotic Plateau problem of minimal and
area minimizing surfaces in the homogeneous space SL˜ 2 (R) with isometry group of …

Killing submersions and magnetic curves

J Inoguchi, MI Munteanu - Journal of Mathematical Analysis and …, 2023 - Elsevier
We investigate magnetic curves in Killing submersions and we show that the bundle
curvature is constant along magnetic curves with respect to the Killing vector field if and only …