250076 VO Differential geometry 2 (2012W)
Labels
Details
Language: German
Examination dates
Tuesday
09.04.2013
Tuesday
30.04.2013
Monday
30.09.2013
Thursday
28.11.2013
Wednesday
19.02.2014
Friday
16.04.2021
Lecturers
Classes (iCal) - next class is marked with N
Tuesday
02.10.
14:05 - 14:55
Seminarraum
Wednesday
03.10.
12:05 - 12:55
Seminarraum
Thursday
04.10.
13:05 - 13:55
Seminarraum
Tuesday
09.10.
14:05 - 14:55
Seminarraum
Wednesday
10.10.
12:05 - 12:55
Seminarraum
Thursday
11.10.
13:05 - 13:55
Seminarraum
Tuesday
16.10.
14:05 - 14:55
Seminarraum
Wednesday
17.10.
12:05 - 12:55
Seminarraum
Thursday
18.10.
13:05 - 13:55
Seminarraum
Tuesday
23.10.
14:05 - 14:55
Seminarraum
Wednesday
24.10.
12:05 - 12:55
Seminarraum
Thursday
25.10.
13:05 - 13:55
Seminarraum
Tuesday
30.10.
14:05 - 14:55
Seminarraum
Wednesday
31.10.
12:05 - 12:55
Seminarraum
Tuesday
06.11.
14:05 - 14:55
Seminarraum
Wednesday
07.11.
12:05 - 12:55
Seminarraum
Thursday
08.11.
13:05 - 13:55
Seminarraum
Tuesday
13.11.
14:05 - 14:55
Seminarraum
Wednesday
14.11.
12:05 - 12:55
Seminarraum
Thursday
15.11.
13:05 - 13:55
Seminarraum
Tuesday
20.11.
14:05 - 14:55
Seminarraum
Wednesday
21.11.
12:05 - 12:55
Seminarraum
Thursday
22.11.
13:05 - 13:55
Seminarraum
Tuesday
27.11.
14:05 - 14:55
Seminarraum
Wednesday
28.11.
12:05 - 12:55
Seminarraum
Thursday
29.11.
13:05 - 13:55
Seminarraum
Tuesday
04.12.
14:05 - 14:55
Seminarraum
Wednesday
05.12.
12:05 - 12:55
Seminarraum
Thursday
06.12.
13:05 - 13:55
Seminarraum
Tuesday
11.12.
14:05 - 14:55
Seminarraum
Wednesday
12.12.
12:05 - 12:55
Seminarraum
Thursday
13.12.
13:05 - 13:55
Seminarraum
Tuesday
18.12.
14:05 - 14:55
Seminarraum
Tuesday
08.01.
14:05 - 14:55
Seminarraum
Wednesday
09.01.
12:05 - 12:55
Seminarraum
Thursday
10.01.
13:05 - 13:55
Seminarraum
Tuesday
15.01.
14:05 - 14:55
Seminarraum
Wednesday
16.01.
12:05 - 12:55
Seminarraum
Thursday
17.01.
13:05 - 13:55
Seminarraum
Tuesday
22.01.
14:05 - 14:55
Seminarraum
Wednesday
23.01.
12:05 - 12:55
Seminarraum
Thursday
24.01.
13:05 - 13:55
Seminarraum
Tuesday
29.01.
14:05 - 14:55
Seminarraum
Wednesday
30.01.
12:05 - 12:55
Seminarraum
Thursday
31.01.
13:05 - 13:55
Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Oral Exam
Minimum requirements and assessment criteria
This lecture course aims at providing a solid foundation both for a further study of Riemannian geometry and for applications, in particular in general relativity.
Examination topics
Reading list
F. Brickel, R.S. Clark, Differentiable Manifolds. An Introduction.
W. M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry.
M. do Carmo, Riemannian Geometry.
S. Gallot, D. Hulin, J. Lafontaine, Riemannian Geometry.
A. Kriegl, Differentialgeometrie (Skriptum, http://www.mat.univie.ac.at/~kriegl/Skripten/diffgeom.pdf ).
W. Kühnel, Differentialgeometrie. Kurven - Flächen - Mannigfaltigkeiten.
M. Kunzinger, Differential Geometry 1 (Skriptum, http://www.mat.univie.ac.at/~mike/teaching/ss08/dg.pdf )
B. O'Neill, Semi-Riemannian manifolds. With applications to relativity.
W. M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry.
M. do Carmo, Riemannian Geometry.
S. Gallot, D. Hulin, J. Lafontaine, Riemannian Geometry.
A. Kriegl, Differentialgeometrie (Skriptum, http://www.mat.univie.ac.at/~kriegl/Skripten/diffgeom.pdf ).
W. Kühnel, Differentialgeometrie. Kurven - Flächen - Mannigfaltigkeiten.
M. Kunzinger, Differential Geometry 1 (Skriptum, http://www.mat.univie.ac.at/~mike/teaching/ss08/dg.pdf )
B. O'Neill, Semi-Riemannian manifolds. With applications to relativity.
Association in the course directory
MGED
Last modified: Sa 17.04.2021 00:29
o submanifolds
o Vector fields and flows
o Tensors
o Scalar products
* Semi-Riemannian Manifolds
o Semi-Riemannian metrics
o The Levi-Civita connection
o Geodesics and exponential map
o Geodesic convexity
o Bogenlänge und Riemannsche Distanz
o The Hopf-Rinow theorem
o Curvature
o Metric contraction
o Local frames
o Differential operators
o The Einstein equations
o Semi-Riemannian submanifolds