任课教师 Speaker:Zhifei Zhu
时间 Time:Tues. & Thur., 9:50-11:25 am, Sept. 24-Dec.19, 2024
地点 Venue:Classroom B626, Tsinghua University Shuangqing Complex Building A; Zoom ID:492 280 8864 Passcode:YMSC123
文章类型:无
Note:
1. The lecture on Oct. 1 will be moved to Sept. 29, B626. The lecture on Oct. 3 will be cancelled.
2. The lecture on Nov. 12 will be cancelled.
Description:
This course will explore various comparison theorems, such as the Rauch and Toponogov comparisons, along with their applications. Topics include the Bishop-Gromov volume comparison, sphere theorems, manifold with negative and nonnegative curvature, Gromoll-Meyer splitting theorem, and Cheeger-Gromoll soul theorem.
Prerequisite:
Differential Geometry I,Differential Geometry II
Reference:
1. Comparison Theorems in Riemannian Geometry by Jeff Cheeger, David G. Ebin (available at https://www.ams.org/books/chel/365/chel365-endmatter.pdf)
2. An invitation to Alexandrov geometry: CAT(0) spaces by Stephanie Alexander, Vitali Kapovitch and Anton Petrunin; (available at https://anton-petrunin.github.io/invitation/)
Target Audience: Undergraduate students, Graduate students
Teaching Language: English
Registration: https://www.wjx.top/vm/r5vwX0g.aspx#