Difference between revisions of "Differential Geometry I - Will Merry - 2018"
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(Created page with "== 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...") |
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Latest revision as of 16:34, 2 February 2019
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.
