Nonorientable minimal surfaces with catenoidal ends
For any odd integer \(n\geq 3\), the authors prove the existence of a 1-parameter family of nonorientable complete \({\mathbb Z}_n\)-invariant conformal minimal immersions into \({\mathbb R}^3\). Each of such surfaces is defined on punctured projective planes and it has \(n+1\) catenoidal ends. They also show the non-existence for such surfaces for any even integer \(n\geq 2\).
scientific article; zbMATH DE number 7366998