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arXiv · 0804.4203

Minimal Surfaces with Catenoid Ends

Jorgen Berglund·Wayne Rossman
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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.

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Jorgen Berglund, Wayne Rossman. 2008-04-26. Minimal Surfaces with Catenoid Ends. https://arxiv.org/abs/0804.4203

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