Carlos Peñafiel

activity

20102025

collaborators

9 papers

math.DG2025

Height estimates for surfaces with some constant curvature in $r \times_{f} r^{2}$

Jairo Delgado, Haimer A. Trejos, Carlos Peñafiel

In this paper, we obtain the necessary equations in a conformal parameter induced by the first or second fundamental forms for a surface that is isometrically immersed in the warpe…

math.DG2024

A new characterization for Clifford hypersurfaces

Qing Cui, Carlos Peñafiel

For a closed minimal immersed hypersurface $M$ in $S^{n + 1}$ with second fundamental form $A$ , and each integer $k \geq 2$ , define a constant $σ_k=\dfrac{\int_M (|A|^2)^k}{|M|…

math.DG2023

Elliptic Weingarten surfaces of minimal type in $R \times_{h} R$

Carlos Peñafiel, Bernardo A. Quaglia, Haimer A. Trejos

In this paper, we study the elliptic Weingarten surfaces of minimal type immersed in the warped product space $R \times_{h} R$ , when $h$ is a $C^{1}$ -function in…

math.DG2019

On Totally umbilical surfaces in the warped product $M (κ)_{f} \times R$

Ady Cambraia, Abigail Folha, Carlos Peñafiel

In this article we classify the totally umbilical surfaces which are immersed into a wide class of Riemannian manifolds having a structure of warped product, more precisely, we sho…

math.DG2018

Height estimates for $H$ -surfaces in the warped product $M \times_{f} R$

Abigail Folha, Carlos Peñafiel, Walcy Santos

In this article, we consider compact surfaces $Σ$ having constant mean curvature $H$ ( $H$ -surfaces) whose boundary $Γ = \partial Σ \subset M_{0} = M \times_{f} {0}$ is tr…

math.DG2015

Weingarten type surfaces in $H^{2} \times R$ and $S^{2} \times R$

Abigail Folha, Carlos Peñafiel

In this article, we study complete surfaces $Σ$ , isometrically immersed in the product space $H^{2} \times R$ or $S^{2} \times R$ having positive extrin…

math.DG2015

The Gauss map and second fundamental form of surfaces in a Lie group

Abigail Folha, Carlos Penafiel

In this article, we give the integrability conditions for the existence of an isometric immersion from an orientable simply connected surface having prescribed Gauss map and positi…

math.DG2014

The Jenkins-Serrin problem for constant mean curvature graphs in the Heisenberg space $Ni l_{3} (τ)$

Carlos Penafiel

In this paper we find functions over bounded domains in the 2-dimensional Euclidean space, whose graphs (in the Heisenberg space) has constant mean curvature different from zero an…

math.DG2010

On H = 1/2 Surfaces in PSL_2(R,\τau)

Carlos Espinoza Peñafiel

We study the behavior of H = 1/2 surfaces immersed in PSL_2(R,\τau).

Height estimates for surfaces with some constant curvature in r×f​r2

A new characterization for Clifford hypersurfaces

Elliptic Weingarten surfaces of minimal type in R×h​R

On Totally umbilical surfaces in the warped product M(κ)f​×R

Height estimates for H-surfaces in the warped product M×f​R

Weingarten type surfaces in H2×R and S2×R