Irene Ortiz

activity

20192022

collaborators

4 papers

math.DG2022

Surfaces of prescribed linear Weingarten curvature in $R^{3}$

Antonio Bueno, Irene Ortiz

Given $a, b \in R$ and $Φ \in C^{1} (S^{2})$ , we study immersed oriented surfaces $Σ$ in the Euclidean 3-space $R^{3}$ whose mean curvature $H$ and Gauss curvature…

math.DG2022

Rotational surfaces of prescribed Gauss curvature in $R^{3}$

Antonio Bueno, Irene Ortiz

We study rotational surfaces in Euclidean 3-space whose Gauss curvature is given as a prescribed function of its Gauss map. By means of a phase plane analysis and under mild assump…

math.DG2020

Surfaces with prescribed mean curvature in $H^{2} \times R$

Antonio Bueno, Irene Ortiz

In this paper we study rotational surfaces in the space $H^{2} \times R$ whose mean curvature is given as a prescribed function of their angle function. These surface…

math.DG2019

Invariant hypersurfaces with linear prescribed mean curvature

Antonio Bueno, Irene Ortiz

Our aim is to study invariant hypersurfaces immersed in the Euclidean space $R^{n + 1}$ , whose mean curvature is given as a linear function in the unit sphere $S^{n}$ …

Surfaces of prescribed linear Weingarten curvature in R3

Rotational surfaces of prescribed Gauss curvature in R3

Surfaces with prescribed mean curvature in H2×R

Invariant hypersurfaces with linear prescribed mean curvature

Surfaces of prescribed linear Weingarten curvature in $R^{3}$

Rotational surfaces of prescribed Gauss curvature in $R^{3}$

Surfaces with prescribed mean curvature in $H^{2} \times R$