conformal geometry
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English[edit]
Etymology[edit]
Noun[edit]
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.
- 2004, Sun-Yung Alice Chang, Non-linear Elliptic Equations in Conformal Geometry, European Mathematical Society, page 2:
- The lectures concerned the study of some non-linear partial differential equations related to curvature invariants in conformal geometry.
- 2018, Miao Jin, Xianfeng Gu, Ying He, Yalin Wang, Conformal Geometry: Computational Algorithms and Engineering Applications, Springer, page 1:
- This chapter gives a brief introduction of the basic theoretic foundations and profound and beautiful structures of conformal geometry.
- 2000, Boris N. Apanasov, Conformal Geometry of Discrete Groups and Manifolds, Walther de Gruyter, page vii,
Related terms[edit]
Translations[edit]
study of conformal transformations; formal structure representing a space and its conformal transformations