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課程名稱 |
幾何學特論
Topics in Geometry |
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開課學期 |
100-2 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
李瑩英 |
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課號 |
MATH5305 |
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課程識別碼 |
221 U0570 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期三2,3,4(9:10~12:10) |
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上課地點 |
天數201 |
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備註 |
總人數上限：30人 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
This course will emphasize and study results on the relations between curvature and topology. We will read a series related papers. Variation principle and nonlinear analysis are some essential tools that we will apply. We hope to touch some surgery techniques as well.
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課程目標 |
1. To train students the abilities of studying papers and presentation.
2. To introduce students some of the most important work and techniques in Differential Geometry.
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課程要求 |
Differential Geometry and mathematical maturity in general. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
We will study a series of papers. The followings are some of them:
1. Siu, Y.T.; Yau, S.T. Compact Kahler manifolds of positive bisectional curvature. Invent. Math. 59 (1980), no. 2, 189-204
2. Sacks, J; Uhlenbeck, K. The existence of minimal immersion of 2-spheres. Ann. of Math. (2) 113 (1981), no.1, 1-24.
3. Micallef, M.; Moore, J. D. Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes. Ann. of Math. (2) 127 (1988), no. 1, 199-227.
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評量方式
(僅供參考) |
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