Carlos Peñafiel

activity

20102024

collaborators

3 papers

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.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).

A new characterization for Clifford hypersurfaces

The Jenkins-Serrin problem for constant mean curvature graphs in the Heisenberg space Nil3​(τ)

On H = 1/2 Surfaces in PSL_2(R,\τau)

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