Dr. James D.E. Grant
james.grant@univie.ac.at
Fakultät für Mathematik
Universität Wien
Wien
Telephone | 01 4277 50632 |
Fax | 01 4277 50620 |
To introduce some of the main ideas and tools in the modern study of global properties (e.g. completeness, compactness etc) of Lorentzian and Riemannian manifolds. Particular goals are to discuss, in some depth, the following topics:
It is assumed that you will be familiar with the material contained in the courses Differential Geometry I and Differential Geometry II.
Day | Time | Room |
---|---|---|
Wednesday | 1-3pm | D 101 |
Thursday | 1-3pm | D 101 |
Please note that this course will be taught in English.
I will be in my office, C 237, Monday 9-10am. You may drop by then to ask questions. If you wish to see me at any other time, please email me so that we can make an appointment.
The course should be quite self-contained, so there should no need for you to buy a textbook. I will also type up a set of lecture notes, which you will be able to download from these web-pages.
We will use material from the following books on Lorentzian and semi-Riemannian geometry, which you may like to glance through:
We will also use some material from the following books on Riemannian and differential geometry:
The following resources offer background material (and more) on differential geometry. They are also free.