250077 VO Selected topics in differential geometry (2009W)
Labels
Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Tuesday
06.10.
17:00 - 18:40
Seminarraum
Thursday
08.10.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
13.10.
17:00 - 18:40
Seminarraum
Thursday
15.10.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
20.10.
17:00 - 18:40
Seminarraum
Thursday
22.10.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
27.10.
17:00 - 18:40
Seminarraum
Thursday
29.10.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
03.11.
17:00 - 18:40
Seminarraum
Thursday
05.11.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
10.11.
17:00 - 18:40
Seminarraum
Thursday
12.11.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
17.11.
17:00 - 18:40
Seminarraum
Thursday
19.11.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
24.11.
17:00 - 18:40
Seminarraum
Thursday
26.11.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
01.12.
17:00 - 18:40
Seminarraum
Thursday
03.12.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Thursday
10.12.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
15.12.
17:00 - 18:40
Seminarraum
Thursday
17.12.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Thursday
07.01.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
12.01.
17:00 - 18:40
Seminarraum
Thursday
14.01.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
19.01.
17:00 - 18:40
Seminarraum
Thursday
21.01.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Tuesday
26.01.
17:00 - 18:40
Seminarraum
Thursday
28.01.
17:00 - 18:40
Seminarraum 2A310 3.OG UZA II
Information
Aims, contents and method of the course
Assessment and permitted materials
Oral exam
Minimum requirements and assessment criteria
Based on the course "Global semi-Riemannian Geometry", in this lecture course we give a complete proof of the singularity theorems of Hawking and Penrose. The necessary prerequisites from calculus of variations and causality in Lorentz manifolds will be developed in the course.
Examination topics
Reading list
C. Bär, Lorentzgeometrie, Vorlesungsskriptum
S.W. Hawking, G.F.R. Ellis, The large scale structure of space-time
B. O'Neill, Semi-Riemannian Geometry
S.W. Hawking, G.F.R. Ellis, The large scale structure of space-time
B. O'Neill, Semi-Riemannian Geometry
Association in the course directory
MGEV
Last modified: Sa 02.04.2022 00:24
*) Variation of energy
*) Focal points along null geodesics
*) Causality
*) Convex coverings
*) Quasi-limits
*) Causality conditions
*) Time separation
*) Globally hyperbolic sets
*) Achronal sets
*) Cauchy hypersurfaces
*) Cauchy developments
*) Cauchy horizons
*) Singularity theorems