Dictionary

conformal geometry en · NOUN

Etymology

From conformal + geometry.

Meanings

1. (countable, uncountable) The study of conformal (angle-preserving) transformations on a 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.
   • This chapter gives a brief introduction of the basic theoretic foundations and profound and beautiful structures of conformal geometry. 2018, Miao Jin, Xianfeng Gu, Ying He, Yalin Wang, Conformal Geometry: Computational Algorithms and Engineering Applications, Springer, page 1:
   • The lectures concerned the study of some non-linear partial differential equations related to curvature invariants in conformal geometry. 2004, Sun-Yung Alice Chang, Non-linear Elliptic Equations in Conformal Geometry, European Mathematical Society, page 2:
2. (countable, formal, uncountable) 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. ▸ an ordered pair comprising a space and the group of conformal transformations that act on the space.

Forms

Relateds

Riemannian manifold · conformal metric · pseudo-Riemannian manifold · Möbius geometry · Riemann surface · conformal transformation · Klein geometry · conformal manifold