MATH5061 - Riemannian Geometry I - 2021/22

Course Name: 
Riemannian Geometry I
Teacher: 
Prof. Man Chun LEE
Course Year: 
2021/22
Term: 
2

Announcement

  • Zoom ID: 930 8247 0449
  • Final Exam: last lecture
  • announcement on course evaluation [Download file]

General Information

Lecturer

  • Lee, Man-Chun
    • Office: LSB 237
    • Tel: 3943 5137
    • Email:

Time and Venue

  • Lecture: We 14:30 - 17:15, LSB 222

Course Description

This course is intended to provide a solid background in Riemannian Geometry. Topics include: affine connection, tensor calculus, Riemannian metric, geodesics, curvature tensor, completeness and some global theory. Students taking this course are expected to have knowledge in differential geometry of curves and surfaces.


Textbooks

  • Manfredo do Carmo: Riemannian Geometry
  • Peter Li: Lecture notes on geometric analysis (if time permits)
  • Jeff Cheeger and David G. Ebin: Comparison Theorems in Riemannian Geometry

References

  • John M. LEE: Riemannian Manifolds An Introduction to Curvature
  • Schoen and Yau: Lectures on Differential Geometry
  • Petersen: Riemannian Geometry

Lecture Notes


Class Notes


Assessment Scheme

Final  100%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: April 11, 2022 11:05:43