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250022 VO Selected topics in differential geometry (2011S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Stefan Haller

Classes (iCal) - next class is marked with N

Tuesday 01.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 03.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 07.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 08.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 10.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 15.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 17.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 21.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 22.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 24.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 28.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 29.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 31.03. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 04.04. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 05.04. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 07.04. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 11.04. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 12.04. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 14.04. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 02.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 03.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 05.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 09.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 10.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 12.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 16.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 17.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 19.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 23.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 24.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 26.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 30.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 31.05. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 06.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 07.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 09.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 16.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 20.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 21.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Monday 27.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Tuesday 28.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II
Thursday 30.06. 11:05 - 11:50 Seminarraum 2A310 3.OG UZA II

Information

Aims, contents and method of the course

We will continue to discuss Riemannian geometry (Hodge decomposition, geodesics, Jacobi fields, exponential mapping, Hopf-Rinow, ...) and then study principal fiber bundles (connections, curvature, associated bundles, Chern-Weil theory, ...).

For further information see: http://www.mat.univie.ac.at/~stefan/DGIII2011.html

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Basic knowledge on differential geometry.

Examination topics

Reading list

J. Jost, Riemannian geometry and geometric analysis, Universitext, Springer-Verlag, Berlin.

W. Klingenberg, Riemannian geometry, de Gruyter Studies in Mathematics, Walter de Gruyter & Co., Berlin.

P.W. Michor, Topics in differential geometry, Graduate Studies in Mathematics 93, AMS Providence, RI, 2008.

P. Petersen, Riemannian Geometry, GTM, Springer-Verlag, 2006.

Association in the course directory

MGEV

Last modified: Sa 02.04.2022 00:24