Constant Mean Curvature Trinoids with one Irregular End

TL;DR

This paper introduces a new family of constant mean curvature trinoids featuring two Delaunay ends and one irregular end, expanding the known solutions in geometric analysis.

Contribution

It constructs a five-parameter family of trinoids with specific asymptotic behaviors, including an irregular end, which is a novel addition to the field.

Findings

New five-parameter family of CMC trinoids

Includes two Delaunay ends and one irregular end

Advances understanding of CMC surface classifications

Abstract

We construct a new five parameter family of constant mean curvature trinoids with two asymptotically Delaunay ends and one irregular end.