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SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES
https://ocu-omu.repo.nii.ac.jp/records/2010769
https://ocu-omu.repo.nii.ac.jp/records/2010769754c5dc5-668c-4be0-83a8-97248f166343
| 名前 / ファイル | ライセンス | アクション |
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本文 (767.1 KB)
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| Item type | 共通(1) | |||||||||||||||
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| 公開日 | 2020-01-31 | |||||||||||||||
| タイトル | ||||||||||||||||
| タイトル | SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES | |||||||||||||||
| 言語 | en | |||||||||||||||
| 作成者 |
安本, 真士
× 安本, 真士
KAKEN2
1000070770543
× Rossman, Wayne
KAKEN2
1000050284485
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| 権利情報 | ||||||||||||||||
| 言語 | en | |||||||||||||||
| 権利情報 | ©Departments of Mathematics of Osaka University and Osaka City University. | |||||||||||||||
| 内容記述 | ||||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||||
| 内容記述 | We establish what semi-discrete linear Weingarten surfaces with Weierstrass-type representations in 3-dimensional Riemannian and Lorentzian spaceforms are, confirming their required properties regarding curvatures and parallel surfaces, and then classify them. We then define and analyze their singularities. In particular, we discuss singularities of (1) semi-discrete surfaces with non-zero constant Gaussian curvature, (2) parallel surfaces of semi-discrete minimal and maximal surfaces, and (3) semi-discrete constant mean curvature 1 surfaces in de Sitter 3-space. We include comparisons with different previously known definitions of such singularities. | |||||||||||||||
| 言語 | en | |||||||||||||||
| 内容記述 | ||||||||||||||||
| 内容記述タイプ | Other | |||||||||||||||
| 内容記述 | The first author was supported by the JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers "Mathematical Science of Symmetry, Topology and Moduli, Evolution of International Research Network based on OCAMI" (PI: Y. Ohnita). The second author was partly supported by the Grant-in-Aid for Scientific Research (C) 15K04845 (PI: W. Rossman), and (S) 17H06127 (PI: M.-H. Saito). | |||||||||||||||
| 言語 | en | |||||||||||||||
| 出版者 | ||||||||||||||||
| 出版者 | Osaka University and Osaka City University, Departments of Mathematics | |||||||||||||||
| 言語 | en | |||||||||||||||
| 言語 | ||||||||||||||||
| 言語 | eng | |||||||||||||||
| 資源タイプ | ||||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||||||
| 出版タイプ | ||||||||||||||||
| 出版タイプ | VoR | |||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||
| 識別子 | ||||||||||||||||
| 識別子 | https://doi.org/10.18910/73744 | |||||||||||||||
| 識別子タイプ | DOI | |||||||||||||||
| 関連情報 | ||||||||||||||||
| 識別子タイプ | NCID | |||||||||||||||
| 関連識別子 | AA00765910 | |||||||||||||||
| 書誌情報 |
en : Osaka Journal of Mathematics 巻 57, 号 1, p. 169-185, 発行日 2020-01 |
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| 収録物識別子 | ||||||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||||||
| 収録物識別子 | 0030-6126 | |||||||||||||||
