2022
DOI: 10.1017/s1474748021000591
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GENUS MINIMAL k-NOIDS AND SADDLE TOWERS IN

Abstract: For each $k\geq 3$ , we construct a $1$ -parameter family of complete properly Alexandrov-embedded minimal surfaces in the Riemannian product space $\mathbb {H}^2\times \mathbb {R}$ with genus $1$ and k embedded ends asymptotic to vertical planes. We also obtain complete minimal surfaces with genus $1$ and $2k$ ends in the quotient of … Show more

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