抄録
We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surface in euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensional hyperbolic space, with properly embedded annular ends, extend holomorphically to each end. Using this result, we derive conditions for when the pair must be a plane and a horosphere.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 271-278 |
| ページ数 | 8 |
| ジャーナル | Anais da Academia Brasileira de Ciencias |
| 巻 | 75 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 9月 2003 |
ASJC Scopus subject areas
- 一般