Conformal equivalence

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 positive function on M.

See also

• conformal geometry
• biholomorphic equivalence
• equivalence relation
• AdS/CFT correspondence

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