Minimal Surfaces with Catenoid Ends

Abstract

In this paper, we use the conjugate surface construction to prove the existence of certain non-periodic symmetric immersed minimal surfaces. These surfaces have finite total curvature and embedded catenoid ends, and they have positive genus yet maintain the symmetry of their genus-zero counterparts constructed by Jorge-Meeks and Xu.

Cited by in corpus (1)

• Minimal surfaces in $R^3$ with dihedral symmetry