Abstract
In the previous paper, we classified $n$-noids of genus one into two classes, and considered one of the classes. As a sequel, we give a necessary and sufficient condition for the existence of an $n$-noid of genus one with prescribed flux in the other class. By using the condition, we give obstructions for a certain type of flux and arrangement of the ends. We also give new examples by deforming a quadruple covering of Berglund--Rossman's $n$-end catenoid.
Citation
Shin Kato. Hisayoshi Muroya. "Minimal surfaces of genus one with catenoidal ends II." Osaka J. Math. 52 (2) 307 - 373, April 2015.
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