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arxiv: 0804.4203 · v1 · submitted 2008-04-26 · 🧮 math.DG

Minimal Surfaces with Catenoid Ends

classification 🧮 math.DG
keywords surfacescatenoidendsminimalcertainconjugateconstructedconstruction
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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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