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| 研究生： |
許用 Hsu, Yung |
|---|---|
| 論文名稱： |
流形與向量束 Manifolds and vector bundles |
| 指導教授： |
章源慶
Cheong, Wan-Keng |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年： | 2014 |
| 畢業學年度： | 102 |
| 語文別： | 英文 |
| 論文頁數： | 36 |
| 中文關鍵詞： | 平滑流形 、平滑映射 、正則子流形 、向量束 、局部標架 、束同態 、法束 |
| 外文關鍵詞： | smooth manifold, smooth map, regular submanifold, vector bundle, local frame, bundle homomorphism, normal bundle |
| 相關次數： | 點閱：100 下載：3 |
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本篇論文共有二章。第一章探討流形，主要介紹平滑流形、平滑映射與正則子流
形。第二章則闡述向量束的基本概念，內容涉及局部標架、束同態、法束等課題。
The thesis is divided into two chapters. Chapter 1 is devoted to the study of manifolds.
Topics include smooth manifolds, smooth maps, and regular submanifolds. In Chapter 2, we
explore the notion of vector bundles. We discuss local frames, bundle homomorphisms, and
normal bundles.
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[9] Munkres, James. Topology. Second edition. Prentice Hall, 2000.
[10] Tu, Loring. An introduction to manifolds. Second edition. Universitext. Springer, 2011.
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