Geometry II (2026 Spring)

Textbook: (1) M. do Carmo, Differential Geometry of curves and surfaces. (2) Elementary algebraic topology(subject to changes).
Room: 綜三203
Time: T89R78 (課程時間細節請注意下方描述)
助教: 綜三217 (Office Hours)
期中考及期末考除了公假、病假、喪假外，其餘事假均不接受。
公假、喪假要有假單，病假需付考試當時就診證明。
下面的進度只是預估。考試日期也是預估，很可能會有改變，請同學注意網頁的UPDATE

Course Description (to be continued)

The material that will be covered in the Spring semester includes (but not restricted to) the following:

黃武雄,初等微分幾何講稿(第一卷，曲線篇，曲面篇)
A.N. Pressley, Elementary Differential Geometry. SUMS (這本書非常適合自己念，淺顯易懂)
L.Tu, An Introduction to Manifolds, UTX.
M. do Carmo, Differential forms and applications, UTX.
S. Morita, Geometry of Differential forms.
I.M. Singer and J.A. Thorpe, Lecture notes on Elementary Topology and Geometry, UTM.
W.S. Massey, A Basic Course in Algebraic Topology, GTM.
M.Spivak, A Comprehensive Introduction to Differential Geometry I-V.

4/21: 4.7: further property of geodesics(時間注意是89堂)

4/23: 5.2: rigidity

4/28: 時間移到4/7

4/30: 時間移到4/21 以及 5/5

5/5: 5.3: Complete surfaces (時間注意是89堂)

5/7: 5.3: Complete surfaces

5/12: 5.4: First variation formula (時間注意是89堂)

5/14: 5.4: Second variation formula

5/19: 5.5 (時間注意是89堂)

5/21: 5.5

5/26: 5.9 (時間注意是89堂)

5/28: 時間移到 5/12 以及 5/19

6/2: 5.9 (時間注意是89堂)

6/4: 時間移到5/26 以及 6/2

6/9: Final Exam:

6/*: 看考卷

Last Updated: May 7, 2026
URL: http://www.math.nthu.edu.tw/~nankuo/G2026S.html