arXiv subjects

Nicolaos Kapouleas

Publications and source records attributed to Nicolaos Kapouleas.

2 recordsLinked to original sources

arXiv2017

Free-boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc

In the Euclidean unit three-ball, we construct compact, embedded, two-sided free boundary minimal surfaces with connected boundary and prescribed high genus, by a gluing construction tripling the equatorial disc. Aside from the equatorial disc itself, these are the first examples in the three-ball of compact free boundary minimal surfaces with connected boundary.

math.DG↗

arXiv2007

Minimal surfaces in the three-Sphere by doubling the Clifford Torus

We construct embedded closed minimal surfaces in the round three-sphere, resembling two parallel copies of the Clifford torus, joined by m^2 small catenoidal bridges symmetrically arranged along a square lattice of points on the torus.

math.DG↗