Minimal saddle towers with genus two


In this work, we prove the existence of a complete, embedded, singly periodic minimal surface, whose quotient by a vertical translation has genus two and four Scherk type ends. With an adequate choice of parameters it can be shown that the surface is a covering of Scherk’s saddle tower.

DOI Code: 10.1285/i15900932v20n1p95

Classification: 53A10; 53C42

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.