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

Shoichi Fujimori; Toshihiro Shoda

doi:10.2140/pjm.2016.282.107

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

Shoichi Fujimori, Toshihiro Shoda

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	107-144
Number of pages	38
Journal	Pacific Journal of Mathematics
Volume	282
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2016.282.107
Publication status	Published - 2016

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Keywords

Finite total curvature
Minimal surface
Two ends

ASJC Scopus subject areas

Mathematics(all)

Cite this

Fujimori, S., & Shoda, T. (2016). Minimal surfaces with two ends which have the least total absolute curvature. Pacific Journal of Mathematics, 282(1), 107-144. https://doi.org/10.2140/pjm.2016.282.107

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Access to Document

10.2140/pjm.2016.282.107