A. Martínez-Triviño

activity

20192024

collaborators

4 papers

math.DG2024

Stationary surfaces of height-dependent weighted area functionals in $R^{3}$ and $L^{3}$

Antonio Martínez, A. L. Martínez-Triviño, J. P. dos Santos

We describe a general correspondence between weighted minimal surfaces in $R^{3}$ and weighted maximal surfaces with some admissible singularities in $L^{3}$ , for a c…

math.DG2022

Geometry of $[φ, e_{3}]$ -minimal surfaces in $R^{3}$

Antonio Martínez, A. L. Martínez-Triviño

In this survey we report a general and systematic approach to study $[φ, e_{3}]$ -minimal surfaces in $R^{3}$ from a geometric viewpoint and show some fundamental resu…

math.DG2020

Mean convex properly embedded $[φ, e_{3}]$ -minimal surfaces in $R^{3}$

Antonio Martínez, A. L. Martínez-Triviño, J. P. dos Santos

We establish curvature estimates and a convexity result for mean convex properly embedded $[φ, e_{3}]$ -minimal surfaces in $R^{3}$ , i.e., $φ$ -minimal surfaces when $φ$ …

math.DG2019

Equilibrium of Surfaces in a Vertical Force Field

Antonio Martínez, A. L. Martínez-Triviño

In this paper we study $φ$ -minimal surfaces in $R^{3}$ when the function $φ$ is invariant under a two-parametric group of translations. Particularly those which are complete…

Stationary surfaces of height-dependent weighted area functionals in R3 and L3

Geometry of [φ,e3​]-minimal surfaces in R3

Mean convex properly embedded [φ,e3​]-minimal surfaces in R3

Equilibrium of Surfaces in a Vertical Force Field

Stationary surfaces of height-dependent weighted area functionals in $R^{3}$ and $L^{3}$

Geometry of $[φ, e_{3}]$ -minimal surfaces in $R^{3}$

Mean convex properly embedded $[φ, e_{3}]$ -minimal surfaces in $R^{3}$