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Conformal geometry

Definition

In mathematics, conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space.

Related concepts

Abelian group Ambient construction Borel subalgebra Cartan connection Cartan decomposition Cartan–Dieudonné theorem Cauchy–Riemann equation Celestial sphere Christoffel symbol Compact space Compactification (mathematics)Complex plane Conformal Killing equation Conformal connection Conformal field theory Conformal geometric algebra Conformal gravity Conformal group Conformal map Conformal mapping Conformally flat manifold Coordinate system Cotton tensor Curvature form Diffeomorphism group Encyclopedia of Mathematics Equivalence class Erlangen program Euclidean space European Mathematical Society Geodesic Geometry Holomorphic function Homogeneous space Hypersphere Inversive geometry Isometry Isotropy group Klein geometry Levi-Civita connection Lie algebra Lie derivative Lie group Light cone Line bundle Liouville's theorem (conformal mappings)Local diffeomorphism Lorentz transformation Lorentzian metric Mathematics Metric signature Metric tensor Minkowski plane Multiplicative group Mutatis mutandis Möbius geometry Möbius plane Möbius transformation N-sphere Null cone Paul Ginsparg Projective linear group Projective space Pseudo-Euclidean space Pseudo-Riemannian manifold Quadratic form Quadric Riemann curvature tensor Riemann sphere Riemann surfaces Riemannian geometry Riemannian manifold Riemannian metric Smooth function Stereographic projection Symmetry Tangent vector Two-dimensional conformal field theory Universal cover Up to Virasoro algebra Weyl connection Weyl tensor Witt algebra

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