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conformally flat

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  • Conformally flat manifold — A (pseudo )Riemannian manifold is conformally flat if each point has a neighborhood that can be mapped to flat space by a conformal transformation. More formally, let (M, g) be a pseudo Riemannian manifold. Then (M, g) is conformally flat if for… …   Wikipedia

  • Flat manifold — In mathematics, a Riemannian manifold is said to be flat if its curvature is everywhere zero. Intuitively, a flat manifold is one that locally looks like Euclidean space in terms of distances and angles, e.g. the interior angles of a triangle add …   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

  • 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

  • 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

  • Self-creation cosmology — (SCC) theories are gravitational theories in which the mass of the universe is created out of its self contained gravitational and scalar fields, as opposed to the theory of continuous creation cosmology or the steady state theory which depend on …   Wikipedia

  • Polarizable vacuum — In theoretical physics, particularly fringe physics, polarizable vacuum (PV) most often refers to a proposal by Harold Puthoff to develop an analogue of general relativity to describe gravity in optics like terms. Puthoff himself has apparently… …   Wikipedia

  • Clifford analysis — Clifford analysis, using Clifford algebras named after William Kingdon Clifford, is the study of Dirac operators, and Dirac type operators in analysis and geometry, together with their applications. Examples of Dirac type operators include, but… …   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

  • Petrov classification — In differential geometry and theoretical physics, the Petrov classification describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold.It is most often applied in studying exact solutions of Einstein s… …   Wikipedia

  • Alternatives to general relativity — are physical theories that attempt to describe the phenomena of gravitation in competition to Einstein s theory of general relativity.There have been many different attempts at constructing an ideal theory of gravity. These attempts can be split… …   Wikipedia

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