Higher Genus

Most higher genus minimal surfaces with few symmetries require to solve complicated period problems. For very sophisticated examples see Martin Traizet’s paper below.

Likely Embedded Examples

• Wohlgemuth’s surface of genus 2 with 4 ends
• Wohlgemuth’s surface of genus 3 with 4 ends
• Kapouleas Surfaces
• Weber-Wolf surface of genus 3 with 5 ends
• Weber-Wolf surface of genus 4 with 5 ends

Non-Embedded Examples

• Chen-Gackstatter surface of genus g
• Catenoid-Enneper of genus g
• Yol’s Doubly Stitched Catenoids

Resources

M. Traizet:  Exploring the space of embedded minimal surfaces of finite total curvature. Experimental Mathematics 17, No 2, 205-221 (2008). See his web page for the preprint, images, and Maple work sheets.