Weyl's conformal curvature tensor

Weyl's conformal curvature tensor
тензор конформной кривизны, тензор Вейля

Большой англо-русский и русско-английский словарь. 2001.

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  • Weyl tensor — In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal… …   Wikipedia

  • Curvature of Riemannian manifolds — In mathematics, specifically differential geometry, the infinitesimal geometry of Riemannian manifolds with dimension at least 3 is too complicated to be described by a single number at a given point. Riemann introduced an abstract and rigorous… …   Wikipedia

  • 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

  • Weyl curvature hypothesis — The Weyl curvature hypothesis, which arises in the application of Albert Einstein s general theory of relativity to physical cosmology, was introduced by the British mathematician and theoretical physicist Sir Roger Penrose in an article in 1979… …   Wikipedia

  • Weyl transformation — See also Weyl quantization, for another definition of the Weyl transform. In theoretical physics, the Weyl transformation is a local rescaling of the metric tensor::g {ab} ightarrow g {ab} exp(2omega(x))The invariance of a theory or an expression …   Wikipedia

  • Cotton tensor — In differential geometry, the Cotton tensor on a (pseudo) Riemannian manifold of dimension n is a third order tensor concomitant of the metric, like the Weyl tensor. The concept is named after Émile Cotton. Just as the vanishing of the Weyl… …   Wikipedia

  • Ricci decomposition — In semi Riemannian geometry, the Ricci decomposition is a way of breaking up the Riemann curvature tensor of a pseudo Riemannian manifold into pieces with useful individual algebraic properties. This decomposition is of fundamental importance in… …   Wikipedia

  • Brans-Dicke theory — In theoretical physics, the Brans Dicke theory of gravitation (sometimes called the Jordan Brans Dicke theory) is a theoretical framework to explain gravitation. It is a well known competitor of Einstein s more popular theory of general… …   Wikipedia

  • Kretschmann scalar — In the theory of Lorentzian manifolds, particularly in the context of applications to general relativity, the Kretschmann scalar is a quadratic scalar invariant. It was introduced by Erich Kretschmann. DefinitionThe Kretschmann invariant is: K =… …   Wikipedia

  • List of formulas in Riemannian geometry — This is a list of formulas encountered in Riemannian geometry.Christoffel symbols, covariant derivativeIn a smooth coordinate chart, the Christoffel symbols are given by::Gamma {ij}^m=frac12 g^{km} left( frac{partial}{partial x^i} g {kj}… …   Wikipedia

  • Nordström's theory of gravitation — In theoretical physics, Nordström s theory of gravitation was a predecessor of general relativity. Strictly speaking, there were actually two distinct theories proposed by the Finnish theoretical physicist Gunnar Nordström, in 1912 and 1913… …   Wikipedia


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