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arXiv · 1509.06021

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

Shoichi Fujimori·Toshihiro Shoda
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Abstract

In this paper, we consider complete non-catenoidal minimal surfaces of finite total curvature with two ends. A family of such minimal surfaces with least total absolute curvature is given. Moreover, we obtain a uniqueness theorem for this family from its symmetries.

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Shoichi Fujimori, Toshihiro Shoda. 2015-09-20. Minimal surfaces with two ends which have the least total absolute curvature. https://doi.org/10.2140/pjm.2016.282.107

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