A characterization of rotational minimal surfaces in the de Sitter space
Abstract
The generating curves of rotational minimal surfaces in the de Sitter space 13 are characterized as solutions of a variational problem. It is proved that these curves are the critical points of the center of mass among all curves of 12 with prescribed endpoints and fixed length. This extends the known properties of the catenary and the catenoid in the Euclidean setting.
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