Möbius Group
The equation
represents an
-D Hypersphere 
as a quadratic hypersurface in an 
-D real projective space
, where 
are homogeneous coordinates in . Then the Group 
of projectivetransformations which leave invariant is called the Möbius group.
References
Iyanaga, S. and Kawada, Y. (Eds.). ``Möbius Geometry.'' §78A in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 265-266, 1980.
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