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Riemannian Geometry

(Spring 2018)

Notices

2. FINAL EXAM: location 5503. 2pm-4pm, 29 June 2018.

1. Tutorial: location 5202. The first homework has been uploaded.


Lecture notes and excercises

Lecture 1 Introduction; Riemannian metrics

Lecture 2 Geodesics

For the remanining lecture notes, see Riemannian Geometry 2017 Spring with the following comments:

Comment 1 for page 32: Homogeneity of a geodesic

Comment 2 for page 46: Nonsingularity of dF(0,p)

Comment 3 for page 47: Riemannian polar coordinate

Comment 4 for page 61: Hopf-Rinow Theorem

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6


References

[Spivak] Michael Spivak, A comprehensive introduction to differential geometry, Volume I-IV, third edition, Publish or Perish.


Tutorials

Tutor

Yulin Gong นจำํมุ gylustc@mail.ustc.edu.cn

Tutorial 1