Geodesic
Minimal surfaces with the area growth of two planes: The case of infinite symmetry
Meeks, William, III1 ; Wolf, Michael2
1 Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003
2 Department of Mathematics, Rice University, Houston, Texas 77005
Journal of the American Mathematical Society, Tome 20 (2007) no. 2, pp. 441-465

Voir la notice de l'article provenant de la source American Mathematical Society

We prove that a connected properly immersed minimal surface in ${\mathbb E}^3$ with infinite symmetry group and area growth constant less than $3\pi$ 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.
DOI : 10.1090/S0894-0347-06-00537-6

Meeks, William, III 1 ; Wolf, Michael 2

1 Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003
2 Department of Mathematics, Rice University, Houston, Texas 77005 
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Meeks, William, III; Wolf, Michael. Minimal surfaces with the area growth of two planes: The case of infinite symmetry. Journal of the American Mathematical Society, Tome 20 (2007) no. 2, pp. 441-465. doi: 10.1090/S0894-0347-06-00537-6

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