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math.DG2022

Surfaces of prescribed linear Weingarten curvature in

Antonio Bueno, Irene Ortiz

Given and , we study immersed oriented surfaces in the Euclidean 3-space whose mean curvature and Gauss curvature…

math.DG2022

Rotational surfaces of prescribed Gauss curvature in

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

Antonio Bueno, Irene Ortiz

In this paper we study rotational surfaces in the space 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 , whose mean curvature is given as a linear function in the unit sphere

math.DG2019

Rotational hypersurfaces of prescribed mean curvature

Antonio Bueno, Jose A. Galvez, Pablo Mira

We use a phase space analysis to give some classification results for rotational hypersurfaces in whose mean curvature is given as a prescribed function of its G…

math.DG2019

Half-space theorems for properly immersed surfaces in with prescribed mean curvature

Antonio Bueno

Motivated by the large ammount of results obtained for minimal and positive constant mean curvature surfaces in several ambient spaces, the aim of this paper is to obtain half-spac…