請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/93884完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 蔡忠潤 | zh_TW |
| dc.contributor.advisor | Chung-Jun Tsai | en |
| dc.contributor.author | 連焌凱 | zh_TW |
| dc.contributor.author | Chun-Kai Lien | en |
| dc.date.accessioned | 2024-08-09T16:10:31Z | - |
| dc.date.available | 2024-08-10 | - |
| dc.date.copyright | 2024-08-09 | - |
| dc.date.issued | 2024 | - |
| dc.date.submitted | 2024-08-02 | - |
| dc.identifier.citation | [1] R. Harvey and H. B. L. Jr, Calibrated geometries, Acta Math. 148 (1982), 47–157.
[2] X. Y.-L. Jost Jürgen, Bernstein type theorems for higher codimension, Calculus of variations and Partial differential equations 9 (1999), no. 4, 277–296. [3] L. M. Martinazzi, The non-parametric problem of plateau in arbitrary codimension (2004), available at math/0411589. [4] M.-T. Wang, On graphic bernstein type results in higher codimension, Trans. Amer. Math. Soc. 355 (2003), no. 1, 265–271. | - |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/93884 | - |
| dc.description.abstract | 在本文中，我們依循 4] 的方法，研究 G2 和 Spin(7) 設定下校準子流形的 Bernstein 問題，並獲得了更弱的條件。 | zh_TW |
| dc.description.abstract | In this article, we follow the approach of 4] to investigate a Bernstein type result for calibrated submanifolds in G2 and Spin(7) setting, and we obtain improved conditions. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2024-08-09T16:10:31Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2024-08-09T16:10:31Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | Verification Letter from the Oral Examination Committee i
Acknowledgements iii 摘要 v Abstract vii Contents ix Chapter 1 Introduction 1 Chapter 2 Preliminaries 5 2.1 G2-structure and associative and coassociative submanifolds . . . . . . . . 5 2.2 Spin(7) manifolds and Cayley submanifolds . . . . . . . . . . . . . . . . . 6 2.3 SVD frames . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Chapter 3 Regularity of minimal graphs 11 3.1 Blow-down and Blow-up argument . . . . . . . . . . . . . . . . . . . . . 11 3.2 A Bernstein-type theorem . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Chapter 4 Bernstein type result for calibrated submanifolds 15 4.1 associative submanifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.2 coassociative submanifolds . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.3 Cayley submanifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 References 27 | - |
| dc.language.iso | zh_TW | - |
| dc.title | R7 和 R8 中校準子流形的 Bernstein Theorems | zh_TW |
| dc.title | Bernstein Theorems for Calibrated Submanifolds in R7 and R8 | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 112-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 崔茂培;王慕道 | zh_TW |
| dc.contributor.oralexamcommittee | Mao-Pei Tsui;Mu-Tao Wang | en |
| dc.subject.keyword | 幾何分析,Bernstein 問題,校準子流形, | zh_TW |
| dc.subject.keyword | Geometric analysis,Bernstein Problem,Calibrated Submanifolds, | en |
| dc.relation.page | 27 | - |
| dc.identifier.doi | 10.6342/NTU202402354 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2024-08-06 | - |
| dc.contributor.author-college | 理學院 | - |
| dc.contributor.author-dept | 數學系 | - |
| 顯示於系所單位： | 數學系 | |
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