Approximation theory for nonorientable minimal surfaces and applications

Alarcón, Antonio¹ ; López, Francisco J¹

¹ Departamento de Geometría y Topología, Universidad de Granada, E-18071 Granada, Spain

Geometry & topology, Tome 19 (2015) no. 2, pp. 1015-1062.

Résumé

We prove a version of the classical Runge and Mergelyan uniform approximation theorems for nonorientable minimal surfaces in Euclidean $3$–space ${ℝ}^3$. Then we obtain some geometric applications. Among them, we emphasize the following ones:

Détail

DOI : 10.2140/gt.2015.19.1015

Classification : 49Q05, 30E10
Keywords: nonorientable minimal surfaces, uniform approximation

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