Student Mathematical Library
Student Mathematical Library
It is rarely taught in undergraduate or graduate curricula that the only conformal maps in Euclidean space of dimension greater than 2 are those generated by similarities and inversions in spheres.
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It is rarely taught in undergraduate or graduate curricula that the only conformal maps in Euclidean space of dimension greater than 2 are those generated by similarities and inversions in spheres. This is in stark contrast to the conformal maps in the plane. This book gives a treatment of this paucity of conformal maps in higher dimensions.