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Topics in Riemannian Geometry, Winter Semester 2023-24

This course will cover some topics in Riemannian geometry. This page will contain all the information related to the course.

Course Outline


Moodle (key: riemann) Please join Moodle as all the communications regarding the course will be done through it.


Lectures: Mondays 11:15-12:45 in Johann von Neumann-Haus - Room 3.007 Rudower Chaussee 25 (RUD25).

Tutorials: Every alternate Mondays starting 30th October 1:15-2:45 in Johann von Neumann-Haus - 1.114 Rudower Chaussee 25 (RUD25) (Note the different classroom).

Announcements
  • 18.10.2023: The Problem Sessions will start from Monday, October 30th 2023 and will run every alternate Monday.


Lecture Notes

For some topics (but not all), I'll upload hand-written lecture notes.

Tensors on Manifolds

Derivatives on Manifolds

Levi-Civita connection and curvature





Problem sets

Problem sets will normally be posted here and discussed in the problem session the following week. They will not be collected or graded but it is highly recommended that you try to attempt all the problems. This will be beneficial to your understanding of the course material.

Problem Set 1 (due on 11.12.2023)

Problem Set 2 (due on 15.01.2024)

Problem Set 3 (due on 29.01.2024)

Problem Set 4 (due on 12.02.2024)