The topological classification of minimal surfaces in $\mathbb R^3$

Pages 681-700 from Volume 167 (2008), Issue 3 by Charles Frohman, William H. Meeks III

Abstract

We give a complete topological classification of properly embedded minimal surfaces in Euclidian three-space.

Mathematical Subject Classification

Primary 2000:

DOI
https://doi.org/10.4007/annals.2008.167.681
MR
2415385
zbMATH
1168.49038
Milestones
Received: 30 September 2002
Accepted: 18 October 2007
Published online: 1 March 2009

Authors

Charles Frohman

Department of Mathematics, University of Iowa, Iowa City, IA 52242, United States

William H. Meeks III

Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, United States