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 | |
| Publication status | Published - 2016 |
Keywords
- Finite total curvature
- Minimal surface
- Two ends
ASJC Scopus subject areas
- Mathematics(all)
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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