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 critical points of the center of mass among all curves of $\s_1^2$ with prescribed endpoints and fixed length. This extends the known properties of the catenary and the catenoid in the Euclidean setting.
Characterization of Finsler Spaces of Scalar Curvature
A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers
A Characterization of Minimal Surfaces in $S^5$ with Parallel Normal Vector Field
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