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Results tagged with lie-groups
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user 67031
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
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$SO(m+1)$-equivariant maps from $S^m$ to $S^m$
$G$ acts transitively on $S^m$, so if you know the image of the north pole $N = (0,\dotsc,0,1)$, there is for every other point $p\in S^m$ an element $g\in S^m$ such that $p = g\cdot (0,\dotsc,0,1)$. …
