Higher Genus

Minimal surfaces defined on punctured Riemann surfaces of higher genus require for their construction either the assumption of many symmetries, or the solution of a high-dimenisonal period problem. For he latter, there are a variety of methods available now, none of them simple.

Individual Surfaces

• Wohlgemuth's Genus 2 Surface
• Wohlgemuth's Genus 3 Surface
• Weber-Wolf Surface of Genus 3 with 5 Ends
• Weber-Wolf Surface of Genus 4 with 5 Ends
• k-Noids with k Handles
• Chen-Gackstatter with 2 and 3 handles
• Chen-Gackstatter with 4 and 5 handles
• Chen-Gackstatter with higher symmetry
• Costa-Hoffman-Meeks I
• Costa-Hoffman-Meeks II
• López-Martín-Rodríguez
• Horgan
• Catenoid-Enneper of higher genus