conformal invariant

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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 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 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

• 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 symmetry — In theoretical physics, conformal symmetry is a symmetry under dilatation (scale invariance) and under the special conformal transformations. Together with the Poincaré group these generate the conformal symmetry group. The conformal group has… …   Wikipedia

• Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… …   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 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 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

• Yamabe invariant — In mathematics, in the field of differential geometry, the Yamabe invariant (also referred to as the sigma constant) is a real number invariant associated to a smooth manifold that is preserved under diffeomorphisms. It was first written down… …   Wikipedia

• de Sitter invariant special relativity — In mathematical physics, de Sitter invariant special relativity is the speculative idea that the fundamental symmetry group of spacetime is the Indefinite orthogonal group SO(4,1), that of de Sitter space. In the standard theory of General… …   Wikipedia