conformal geometry

== English == === Etymology === From conformal +‎ geometry. === Noun === conformal geometry (countable and uncountable, plural conformal geometries) (geometry) The study of conformal (angle-preserving) transformations on a space;(formally) an ordered pair comprising a space and the group of conformal transformations that act on the space. 2000, Boris N. Apanasov, Conformal Geometry of Discrete Groups and Manifolds, Walther de Gruyter, page vii, 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. ==== Related terms ==== conformal manifold conformal metric conformal transformation ==== Translations ==== === See also === Klein geometry Möbius geometry pseudo-Riemannian manifold Riemann surface Riemannian manifold