課程資訊
課程名稱
微分幾何二
Differential Geometry (Ⅱ) 
開課學期
100-2 
授課對象
理學院  數學研究所  
授課教師
王文才 
課號
MATH7302 
課程識別碼
221 U2940 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期三8(15:30~16:20)星期五3,4(10:20~12:10) 
上課地點
天數305天數305 
備註
研究所數學組基礎課。
總人數上限:30人 
 
課程簡介影片
 
核心能力關聯
核心能力與課程規劃關聯圖
課程大綱
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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.
 

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. 
課程要求
Differential Geometry (I)

The grade is based on regularly assigned problem sets ( 作業 100 %) 
預期每週課後學習時數
 
Office Hours
 
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
 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
作業 
100% 
 
 
課程進度
週次
日期
單元主題