24 citations · 145 across the 21 of their papers we have counts for
22 papers · 1 filter
A duality for prescribed mean curvature graphs in Riemannian and Lorentzian Killing submersions
Andrea Del Prete, Hojoo Lee, José M. Manzano
We develop a conformal duality for spacelike graphs in Riemannian and Lorentzian three-manifolds that admit a Riemannian submersion over a Riemannian surface whose fibers are the i…
The Jenkins-Serrin problem in 3-manifolds with a Killing vector field
Andrea Del Prete, José M. Manzano, Barbara Nelli
We consider 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 w…
Invariant constant mean curvature tubes around a horizontal geodesic in -spaces
José M. Manzano
We consider constant mean curvature surfaces (invariant by a continuous group of isometries) lying at bounded distance from a horizontal geodesic on any homogeneous -manifold $\…
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…
A construction of constant mean curvature surfaces in and the Krust property
Jesús Castro-Infantes, José M. Manzano, Magdalena Rodríguez
We show the existence of a -parameter family of properly Alexandrov-embedded surfaces with constant mean curvature in .…
Horizontal Delaunay surfaces with constant mean curvature in and
José M. Manzano, Francisco Torralbo
We obtain a -parameter family of horizontal Delaunay surfaces with positive constant mean curvature in and , being t…
Genus one minimal k-noids and saddle towers in
Jesús Castro-Infantes, José M. Manzano
For each , we construct a 1-parameter family of complete properly Alexandrov-embedded minimal surfaces in the Riemannian product space with…
Isoparametric surfaces in -spaces
Miguel Domínguez-Vázquez, José M. Manzano
We provide an explicit classification of the following four families of surfaces in any homogeneous 3-manifold with 4-dimensional isometry group: isoparametric surfaces, surfaces w…
Compact embedded surfaces with constant mean curvature in
José M. Manzano, Francisco Torralbo
We obtain compact orientable embedded surfaces with constant mean curvature and arbitrary genus in . These surfaces have dihedral sy…
Dual quadratic differentials and entire minimal graphs in Heisenberg space
José M. Manzano
We define holomorphic quadratic differentials for spacelike surfaces with constant mean curvature in the Lorentzian homogeneous spaces with isometry group of dime…
On the conformal duality between constant mean curvature surfaces in and
José M. Manzano
The main aim of this survey paper is to gather together some results concerning the Calabi type duality discovered by Hojoo Lee between certain families of (spacelike) graphs with…
Parallel mean curvature surfaces in four-dimensional homogeneous spaces
José M. Manzano, Francisco Torralbo, Joeri Van der Veken
We survey different classification results for surfaces with parallel mean curvature immersed into some Riemannian homogeneous four-manifolds, including real and complex space form…
Compact stable surfaces with constant mean curvature in Killing submersions
Ana M. Lerma, José M. Manzano
A Killing submersion is a Riemannian submersion from a 3-manifold to a surface, both connected and orientable, whose fibres are the integral curves of a Killing vector field, not n…
Height and area estimates for constant mean curvature graphs in E(κ,τ)-spaces
José M. Manzano, Barbara Nelli
We obtain area growth estimates for constant mean curvature graphs in -spaces with , by finding sharp upper bounds for the volume of geodesic balls in $\m…
Compact embedded minimal surfaces in
José M. Manzano, Julia Plehnert, Francisco Torralbo
We prove that closed surfaces of all topological types, except for the non-orientable odd-genus ones, can be minimally embedded in the Riemannian product of a sphere and a circle o…
The classification of totally umbilical surfaces in homogeneous 3-manifolds
José M. Manzano, Rabah Souam
We obtain an exhaustive classification of totally umbilical surfaces in unimodular and non-unimodular simply-connected 3-dimensional Lie groups endowed with arbitrary left-invarian…
Generalized Calabi correspondence and complete spacelike surfaces
Hojoo Lee, José M. Manzano
We construct a twin correspondence between graphs with prescribed mean curvature in three-dimensional Riemannian Killing submersions and spacelike graphs with prescribed mean curva…
On the classification of Killing submersions and their isometries
José M. Manzano
A Killing submersion is a Riemannian submersion from an orientable 3-manifold to an orientable surface whose fibers are the integral curves of a unit Killing vector field in the 3-…
On complete constant mean curvature vertical multigraphs in E(κ,τ)
José M. Manzano, M. Magdalena Rodríguez
We prove that any complete surface with constant mean curvature in a homogeneous space E(κ,τ) which is transversal to the vertical Killing vector field is, in fact, a vertical grap…
New examples of constant mean curvature surfaces in and
José M. Manzano, Francisco Torralbo
We construct non-zero constant mean curvature H surfaces in the product spaces and by using suitable conjugate Plat…
Estimates for constant mean curvature graphs in MxR
José M. Manzano
We will discuss some sharp estimates for CMC graphs in a Riemannian 3-manifold MxR whose boundary is contained in a slice. We will start by giving sharp lower bounds for the geodes…
Parabolic stable surfaces with constant mean curvature
Jose M. Manzano, Joaquin Perez, M. Magdalena Rodriguez
We prove that if u is a bounded smooth function in the kernel of a nonnegative Schrodinger operator on a parabolic Riemannian manifold M, then u is either identically z…