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math.DG2022
Catenaries and minimal surfaces of revolution in hyperbolic space
Luiz C. B. da Silva, Rafael López
We introduce the concept of extrinsic catenary in the hyperbolic plane. Working in the hyperboloid model, we define an extrinsic catenary as the shape of a curve hanging under its…
math.DG2022
Catenaries and singular minimal surfaces in the simply isotropic space
Luiz C. B. da Silva, Rafael López
This paper investigates the hanging chain problem in the simply isotropic plane as well as its 2-dimensional analog in the simply isotropic space. The simply isotropic plane and sp…
math.DG2022
A characterization of rotational minimal surfaces in the de Sitter space
Rafael López
The generating curves of rotational minimal surfaces in the de Sitter space $\s_1^3$ are characterized as solutions of a variational problem. It is proved that these curves are the…