conformal geometry

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• Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… …   Wikipedia

• Conformal — may refer to: Conformal map, in mathematics Conformal geometry, in mathematics Conformal map projection, in cartography Conformal film on a surface Conformal coating in electronics Conformal hypergraph, in mathematics Conformal field theory in… …   Wikipedia

• Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… …   Wikipedia

• Conformal connection — In conformal differential geometry, a conformal connection is a Cartan connection on an n dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n sphere, viewed as the homogeneous space O+(n+1,1)/P where P… …   Wikipedia

• Conformal group — In mathematics, the conformal group is the group of transformations from a space to itself that preserve all angles within the space. More formally, it is the group of transformations that preserve the conformal geometry of the space. Several… …   Wikipedia

• Conformal Killing equation — In conformal geometry, the conformal Killing equation on a manifold of space dimension n with metric g describes those vector fields X which preserve g up to scale, i.e. for some function λ (where is the Lie derivative). Vector fields that… …   Wikipedia

• Conformal equivalence — In mathematics and theoretical physics, two geometries are conformally equivalent if there exists a conformal transformation (an angle preserving transformation) that maps one geometry to the other one. More generally, two Riemannian metrics on a …   Wikipedia

• Conformal radius — In mathematics, the conformal radius is a way to measure the size of a simply connected planar domain D viewed from a point z in it. As opposed to notions using Euclidean distance (say, the radius of the largest inscribed disk with center z),… …   Wikipedia

• Conformal Cyclic Cosmology — The Conformal Cyclic Cosmology (CCC) is a cosmological model in the framework of general relativity, advanced by the theoretical physicist Sir Roger Penrose.[1][2] In CCC, the universe iterates through infinite cycles, with the future timelike… …   Wikipedia

• Conformal gravity — is a generic name for gravity theories which are invariant under conformal transformations in the Riemannian geometry sense; more accurately, they are invariant under Weyl transformations where gab is the metric tensor and Ω(x) is a function on… …   Wikipedia

• Conformal coating — material is applied to electronic circuitry to act as protection against moisture, dust, chemicals, and temperature extremes that, if uncoated (non protected), could result in damage or failure of the electronics to function. When electronics… …   Wikipedia