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オガタ ユウタ
緒方 勇太 所属 京都産業大学 理学部 数理科学科 職種 准教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2017/07 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Deformation of minimal surfaces with planar curvature lines |
| 執筆形態 | その他 |
| 掲載誌名 | Journal of Geometry |
| 出版社・発行元 | Birkhauser Verlag AG |
| 巻・号・頁 | 108(2),pp.463-479 |
| 著者・共著者 | Joseph Cho,Yuta Ogata |
| 概要 | Minimal surfaces with planar curvature lines are classical geometric objects, having been studied since the late nineteenth century. In this paper, we revisit the subject from a different point of view. After calculating their metric functions using an analytical method, we recover the Weierstrass data, and give clean parametrizations for these surfaces. Then, we show that there exists a single continuous deformation between all minimal surfaces with planar curvature lines. In the process, we establish the existence of axial directions for these surfaces. |
| DOI | 10.1007/s00022-016-0352-0 |
| ISSN | 1420-8997 |