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zero curvature

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  • Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this …   Wikipedia

  • Curvature of a measure — In mathematics, the curvature of a measure defined on the Euclidean plane R2 is a quantification of how much the measure s distribution of mass is curved . It is related to notions of curvature in geometry. In the form presented below, the… …   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

  • curvature — /kerr veuh cheuhr, choor /, n. 1. the act of curving or the state of being curved. 2. a curved condition, often abnormal: curvature of the spine. 3. the degree of curving of a line or surface. 4. Geom. a. (at a point on a curve) the derivative of …   Universalium

  • Curvature invariant — In Riemannian geometry and pseudo Riemannian geometry, curvature invariants are scalar quantities constructed from tensors that represent curvature. These tensors are usually the Riemann tensor, the Weyl tensor, the Ricci tensor and tensors… …   Wikipedia

  • Zero-point field — In quantum field theory, the zero point field is the lowest energy state of a field, i.e. its ground state, which is non zero. [cite book | last = Gribbin | first = John | title = Q is for Quantum An Encyclopedia of Particle Physics | publisher …   Wikipedia

  • curvature of space — Physics, Astron. 1. (in relativity) a property of space near massive bodies in which their gravitational field causes light to travel along curved paths. 2. (in cosmology) a large scale property of the universe that has an algebraic sign that… …   Universalium

  • curvature of space — Physics, Astron. 1. (in relativity) a property of space near massive bodies in which their gravitational field causes light to travel along curved paths. 2. (in cosmology) a large scale property of the universe that has an algebraic sign that… …   Useful english dictionary

  • Gaussian curvature — In differential geometry, the Gaussian curvature or Gauss curvature of a point on a surface is the product of the principal curvatures, κ 1 and κ 2, of the given point. It is an intrinsic measure of curvature, i.e., its value depends only on how… …   Wikipedia

  • Constant curvature — See also: Space form In mathematics, constant curvature in differential geometry is a concept most commonly applied to surfaces. For those the scalar curvature is a single number determining the local geometry, and its constancy has the obvious… …   Wikipedia

  • Sectional curvature — In Riemannian geometry, the sectional curvature is one of the ways to describe the curvature of Riemannian manifolds. The sectional curvature K(σp) depends on a two dimensional plane σp in the tangent space at p. It is the Gaussian curvature of… …   Wikipedia

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