For a mapping between two Euclidean spaces, is it a linear conformal mapping if and only if it is a similarity transformation?
My answer is yes, because the Jacobian matrix of a conformal transformation is everywhere a scalar times a rotation matrix.
Note that both allow reflection, i.e. change of orientation.
- Is it correct that a conformal mapping may not be an affine nor projective transformation, because it may not be linear?
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