2005/05/19 by A. Alarcon, Antonio Alarcón, L. Ferrer +6
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #math.DG #msc:53A10 #msc:53C42
paper · pdf · doi:10.48550/arxiv.math/0505412
12 pages, 6 figures
arxiv created 2006/12/06 · arxiv updated 2009/12/01
The singly periodic genus-one helicoid was in the origin of the discovery of the first example of a complete minimal surface with finite topology but infinite total curvature, the celebrated Hoffman-Karcher-Wei's genus one helicoid. The objective of this paper is to give a uniqueness theorem for the singly periodic genus-one helicoid provided the existence of one symmetry.