Please use this identifier to cite or link to this item:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59191| Title: | Holonomy為Spin(7)的緊緻八維流形 Compact 8-manifolds with holonomy Spin(7) |
| Authors: | Chao-Wei Liang 梁釗瑋 |
| Advisor: | 王藹農(Ai-Nung Wang) |
| Keyword: | 流形,和樂群,旋量群,微分形式,李群, manifold,holonomy,Spin,differential form,Lie group, |
| Publication Year : | 2017 |
| Degree: | 碩士 |
| Abstract: | 在Berger 對非對稱流形Holonomy group 的分類中，Spin(7) 為一個特例，八維流形可能會有Spin(7) 的Holonomy group，而第一個緊緻且有Spin(7) Holonomy group 的流形是由Dominic Joyce 所構造，在這篇文章中會討論Joyce 構造流形的過程。 In Berger’s classification of holonomy groups of non-symmetric manifolds, Spin(7) is a special case. The first compact manifold with holonomy Spin(7) is constructed by Dominic Joyce in 1996. In this article, we will discuss Joyce’s construction of such manifolds. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59191 |
| DOI: | 10.6342/NTU201701435 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
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| File | Size | Format | |
|---|---|---|---|
| ntu-106-1.pdf Restricted Access | 364.86 kB | Adobe PDF |
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