A. Martinez

collaborators

3 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.DG2022

A Weierstrass type representation for translating solitons and singular minimal surfaces

Antonio Martínez, A. L. Martínez-Triviño

In this paper we provide a Weierstrass representation formula for translating solitons and singular minimal surfaces in $R^{3}$ . As application we study when the euclidean…

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

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

A Weierstrass type representation for translating solitons and singular minimal surfaces

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

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