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Mathematics
Differential Geometry
Question of Cartan's structure equation (in Principal bundle)
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[QUOTE="fresh_42, post: 5581925, member: 572553"] The easiest example of a non-trivial Lie algebra is ##\{X,Y\,\vert \,[X,Y]=2Y\} ## where ##X,Y ## can be represented by ## X= \begin{bmatrix}1&&0 \\ 0&& -1\end{bmatrix}## and ## Y= \begin{bmatrix}0&&1 \\ 0 && 0\end{bmatrix}## with a little bit more interesting paths. Do you know a Riemann manifold where it is the tangent space. I mean beside the matrix group? [/QUOTE]
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Forums
Mathematics
Differential Geometry
Question of Cartan's structure equation (in Principal bundle)
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