Riemannian Geometry 2017/2018

Announcements

The remaining classes until the Christmas break will be: All classes will be in the usual room (Math II Lonza).

The following fridays there will be no class: 24.11.17, 15.12.17, 22.12.17.


Lecture number Date Content
1 22.09.2017 Smooth manifolds and smooth maps.
2 29.09.2017 Tangent space, the differential of a map, immersions and submersions.
3 06.10.2017 The tangent bundle, vector fields and the Lie bracket (I).
4 13.10.2017 Lie bracket (II) and partitions of unity. Riemannian metrics.
5 20.10.2017 Existence of metrics, (local) isometries, lengths of curves.
6 31.10.2017 Examples of lengths of curves and partitions of unity. The isometry group.
7 03.11.2017 Smooth group actions and quotients. Isometric actions.
8 07.11.2017 Riemannian quotients. Left-invariant metrics on Lie groups.
9 14.11.2017 Affine connections and the covariant derivative (I).
10 17.11.2017 The covariant derivative (II) and parallel transport.
11 28.11.2017
12 01.12.2017
13 05.12.2017
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14 23.02.2018