Riemannian Geometry IV

Michaelmas 2015

The Epiphany 2016 webpage

Time and place:   Lectures: Tuesday 15:00, CM107
Thursday 17:00, CM101
Problems classes:   Tuesday 16:00, CM107, Weeks 4,6,8,10
Instructor: Anna Felikson
e-mail: anna dot felikson at durham dot ac dot uk
Office: CM124; Phone: 334-4158
Office hours: Monday 11:00 - 12:00 and by appointment


The content of the course can also be found in any standard textbook on Riemannian Geometry, e.g.

Preliminary course content (subject to change): smooth manifolds, tangent spaces, vector fields, Riemannian metric, examples of Riemannian manifolds, Levi-Civita connection, parallelism, geodesics.


If you have any questions you are very welcome to ask (during the lectures, after a lecture, during office hours, in any other convenient time or via e-mail)!!!


  • There will be weekly sets of exercises; stared questions to hand in on Thurdays, weeks 3,5,7,9. -- (+/- notation used for marking)
  • Handouts:

    Typical exam questions: ---- see here

    Fun: ---- Hairy Ball Theorem in 1-munute video

    Who is who: ---- Riemann, ---- Hausdorff, ---- Jacobi, ---- Lie, ---- Leibniz, ---- Nash, ---- Levi-Civita, ---- Christoffel, ---- Gauss, ---- Hopf, ---- Rinow. ---- Bianchi. ----