Riemannian Geometry IV
Epiphany 2016
e-mail: pavel dot tumarkin at durham dot ac dot uk Office: CM110; Phone: 334-3085 Office hours: Mon 11:00 -- 12:00 and by appointment |
Textbooks: |
The content of the course can also be found in any standard textbook on Riemannian Geometry, e.g. |
Further (recommended) reading: |
Preliminary course content (subject to change): introduction to Lie groups, Riemannian curvature tensor, Ricci curvature, sectional curvature and scalar curvature; manifolds of positive curvature and Bonnet-Myers theorem; Jacobi fields and conjugate points, manifolds of nonpositive curvature and Cartan-Hadamard theorem; comparison theorems.
Schedule:
Handouts:
Homeworks: There will be weekly homework assignments. Selected exercises are to be handed in on weeks 13, 15, 17, and 19