Differential Geometry I - Will Merry - 2018
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Anonymous, 30.01.2019
- Define the exponential map \( \exp: \mathfrak{g} \to G \) and show that \(\exp((s+t)v) = \exp(sv)\exp(tv) \), which entailed proving that for the integral curve \( \gamma^v \) of \(X_v\), we have \(\gamma^v(st) = \gamma^{sv}(t) \) and that \(\gamma^v\) is a one parameter subgroup.
- Prove existence and uniqueness of the exterior differential, just as in the lecture notes.
The atmosphere was relaxed and he gave helpful hints whenever needed. When we were through with both questions ahead of time, I was asked a couple more questions which I was promised would not reduce my grade if I got anything wrong.
