Antonio Martínez

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math.DG2023

Calabi-Bernstein type results for critical points of a weighted area functional in $R^{3}$ and $L^{3}$

A. Martínez, A. L. Martínez-Triviño

In this paper we prove some Calabi-Bernstein type and non-existence results concerning complete $[φ, e_{3}]$ -minimal surfaces in $R^{3}$ whose Gauss maps lie on compa…

math.DG2014

A class of surfaces related to a problem posed by Élie Cartan

Antonio Martínez, Pedro Roitman

We introduce a class of surfaces in euclidean space motivated by a problem posed by Élie Cartan. This class furnishes what seems to be the first examples of pairs of non-congruent…

Calabi-Bernstein type results for critical points of a weighted area functional in R3 and L3

A class of surfaces related to a problem posed by Élie Cartan

Calabi-Bernstein type results for critical points of a weighted area functional in $R^{3}$ and $L^{3}$