- conformal metric
- мат.конформная метрика
English-Russian scientific dictionary. 2008.
conformal metric
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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 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 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 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 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 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 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 vector field — A conformal vector field (often conformal Killing vector field and occasionally conformal or conformal collineation) of a Riemannian manifold (M,g) is a vector field X that satisfies: for some smooth real valued function φ on M, where denotes the … Wikipedia
Poincaré metric — In mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two dimensional surface of constant negative curvature. It is the natural metric commonly used in a variety of calculations in hyperbolic geometry… … Wikipedia
Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… … Wikipedia
Acoustic metric — In mathematical physics, a metric describes the arrangement of relative distances within a surface or volume, usually measured by signals passing through the region – essentially describing the intrinsic geometry of the region. An acoustic metric … Wikipedia
