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Results tagged with orthogonal-groups
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user 25510
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Functions with scalar times orthogonal Jacobian
Such maps are called conformal or anticonformal, depending of whether the determinants of those orthogonal matrices are positive or negative. In dimension 2 they are the same as complex analytic funct …
- 91.8k
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Accepted
functions with orthogonal Jacobian
Such maps are conformal. A theorem of Liouville says that if $n\geq 3$,
the only conformal maps (defined in some region in $R^n$) are Mobius. A Mobius map is a composition of inversions
in spheres. Fo …
- 91.8k