Constant Mean Curvature Trinoids

Abstract

This paper constructs a family of constant mean curvature immersions of the thrice-punctured Riemann sphere into Euclidean 3-space with asymptotically Delaunay ends via loop group methods.

References in corpus (1)

• Constant mean curvature surfaces with three ends

Cited by in corpus (6)

• Dressing preserving the fundamental group
• Conformal Structures and Necksizes of Embedded Constant Mean Curvature Surfaces
• Discrete constant mean curvature surfaces via conserved quantities
• Gluing Delaunay ends to minimal n-noids using the DPW method
• The first bifurcation point for Delaunay nodoids
• Constant mean curvature n-noids in hyperbolic space