High Quality Content by WIKIPEDIA articles! In mathematics and theoretical physics, two geometries are conformally equivalent if there exists a conformal transformation (an angle-preserving transformation) that maps one geometry to the other one. More generally, two Riemannian metrics on a manifold M are conformally equivalent if one is obtained from the other by multiplication by a function on M. In mathematics, a conformal map is a function which preserves angles. In the most common case the function is between domains in the complex plane.

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