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課程名稱 |
微分幾何二
Differential Geometry (Ⅱ) |
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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 |
王文才 |
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課號 |
MATH7302 |
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課程識別碼 |
221 U2940 |
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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 |
星期三8(15:30~16:20)星期五3,4(10:20~12:10) |
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上課地點 |
天數305天數305 |
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備註 |
研究所數學組基礎課。
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 |
核心能力與課程規劃關聯圖 |
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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 |
The relations between various geometric quantities such as curvature, volume, injectivity radius, etc., and topology are of keen interest. This course will explore many of these.
Topics to be included are: Comparison theorems for sectional and Ricci curvature, analysis on manifolds (e.g., Bochner technique, critical point theory, applications of maximum principle) and convergence theory of manifolds.
Along the way the course will treat other topics as time permits, such as submanifolds, symmetric spaces.
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課程目標 |
Provide an essential foundation in differential geometry for all students, and open a way to pursue work or research in geometry. |
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課程要求 |
Differential Geometry (I)
The grade is based on regularly assigned problem sets ( 作業 100 %) |
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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 |
Textbook: Riemannian Geometry, 3rd edition, P. Petersen, Springer-Verlag
Also recommended:
A Comprehensive Introduction to Differential Geometry, vol. 1-5, M. Spivak
Riemannian Geometry, M. do Carmo, Birkhäuser 1992
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評量方式
(僅供參考) |
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