Minimal surfaces with the area growth of two planes: the case of infinite symmetry

• Autores: William H. Meeks , Michael Wolf
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 20, Nº 2, 2007, págs. 441-465
• Idioma: inglés
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• Resumen

  • We prove that a connected properly immersed minimal surface in with infinite symmetry group and area growth constant less than is a plane, a catenoid, or a Scherk singly-periodic minimal surface. As a consequence, the Scherk minimal surfaces are the only connected periodic minimal desingularizations of the intersections of two planes