conformal space

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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

• Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

• Conformal anomaly — is an anomaly i.e. a quantum phenomenon that breaks the conformal symmetry of the classical theory. A classically conformal theory is a theory which, when placed on a surface with arbitrary background metric, has an action that is invariant under …   Wikipedia

• Space-oblique Mercator projection — is a map projection.HistoryThe Space oblique Mercator projection (SOM) was developed by John P. Snyder, Alden Partridge Colvocoresses and John L. Junkins in 1976. Snyder had an interest in maps, originating back to his childhood and his regularly …   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 field theory — A conformal field theory (CFT) is a quantum field theory (or statistical mechanics model at the critical point) that is invariant under conformal transformations. Conformal field theory is often studied in two dimensions where there is an… …   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 dimension — In mathematics, the conformal dimension of a metric space X is the infimum of the Hausdorff dimension over the conformal gauge of X, that is, the class of all metric spaces quasisymmetric to X.[1] Contents 1 Formal definition 2 Properties …   Wikipedia

• Conformal pictures — Here are examples of conformal maps understood as deforming pictures. This technique is a generalization of domain coloring where the domain space is not colored by a fixed infinite color wheel but by a finite picture tiling the plane. 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 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