Complete Minimal Surfaces in R 3 of Genus One and Four Planar Embedded Ends

Celso J. Costa
1993 Proceedings of the American Mathematical Society  
By using elliptic functions and Weierstrass representation we construct a one-parameter family of complete minimal surfaces in R3 with genus one and four planar embedded ends. These surfaces are critical points of the Willmore functional.
doi:10.2307/2159991 fatcat:ojz3d247wbgw3awvodj4liuhta