| TCC
Lectures on "Holonomy groups in Riemannian geometry" Autumn 2011 |
| The course consists of two major
parts. The main goal of the first part is the proof of Berger's
classification theorem for holonomies of Riemannian manifolds. In the
remaining part we will study in some detail properties of manifolds
with holonomies from Berger's list. References: 1. A.Besse. Einstein manifolds. 2. D.Joyce. Riemannian holonomy groups and calibrated geometry. 3. S.Salamon. Riemannian geometry and holonomy groups. |
| Slides
of
lectures
(pdf) |
| Lecture 1 |
| Lecture 2 |
| Lecture 3 |
| Lecture 4 |
| Lecture 5 |
| Lecture 6 |
| Lecture 7 |
| Lecture 8 |
| All lectures in one file |
| Set of problems for
assessment. Please, choose any 3 problems from the list and send me
your solutions no later than Feb 2,
2012. |