Antonio Bueno

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20182023

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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…

Surfaces of prescribed linear Weingarten curvature in R3

Rotational surfaces of prescribed Gauss curvature in R3

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

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