Minimal surfaces with two ends which have the least total absolute curvature

PACIFIC JOURNAL OF MATHEMATICS（2016）

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摘要

We consider complete noncatenoidal minimal surfaces of finite total curvature with two ends. A family of such minimal surfaces with least total absolute curvature is given. We also obtain a uniqueness theorem for this family from its symmetries.

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关键词

minimal surface,finite total curvature,two ends

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