conformal geometries

Noun

conformal geometry (countable and uncountable, plural conformal geometries)

1. The study of conformal (angle-preserving) transformations on a space;
   • Generally, conformal geometries naturally appear at infinity for negatively curved Riemannian geometries. Moreover, due to M. Gromov's [5, 6] geometric approach to infinite groups, conformal geometry invents new fruitful methods in combinatorial group theory.2000, Boris N. Apanasov, Conformal Geometry of Discrete Groups and Manifolds, Walther de Gruyter, page vii
2. (formal) an ordered pair comprising a space and the group of conformal transformations that act on the space.