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:
DOI
10.4007/annals.2008.167.681
MR
2415385
Zbl
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