●本授業の目的およびねらい
Differential geometry plays a central role in many physical theory, as for example in classical mechanics, in solid states physics or in general relativity. During this one semester course, many essential notions will be introduced, among them the definitions of a manifold, of the curvature, of the parallel transport, of the holonomy, etc. Depending on the interest of the audience, applications in one of the mentioned theory will be proposed.

●履修条件あるいは関連する科目等
Basic knowledge on calculus and linear algebra, as provided in Calculus I & II and in Linear algebra I & II. Motivated 1st year students can also attend without these prerequisites but after a discussion with the instructor.

●授業内容
1. Manifolds and submanifolds, Riemannian manifolds 2. Connections, parallel transport 3. Geodesics 4. Curvature 5. Homology theory

●成績評価の方法
The final grade will be determined by the active participation during the lectures.

●教科書
Material will be provided during the lectures.

●参考書
Reference books will be provided during the lectures.

●注意事項
This course is an optional subject which does not count towards the number of credits required for graduation in any program at Nagoya University.

●本授業に関する参照Webページ

●担当者からの言葉(Webページのみ表示)
