- Riemannian space
- пространство Римана, риманово пространство
English-russian dictionary of physics. 2013.
Riemannian space
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Riemannian space — Rymano erdvė statusas T sritis fizika atitikmenys: angl. Riemannian space vok. Riemann Raum, m rus. риманово пространство, n pranc. espace de Riemann, m; espace riemannien, m … Fizikos terminų žodynas
space-time — /spays tuym /, n. 1. Also called space time continuum. the four dimensional continuum, having three spatial coordinates and one temporal coordinate, in which all physical quantities may be located. 2. the physical reality that exists within this… … Universalium
Riemannian manifold — In Riemannian geometry, a Riemannian manifold ( M , g ) (with Riemannian metric g ) is a real differentiable manifold M in which each tangent space is equipped with an inner product g in a manner which varies smoothly from point to point. The… … Wikipedia
Riemannian geometry — Elliptic geometry is also sometimes called Riemannian geometry. Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric , i.e. with an inner product on the tangent… … Wikipedia
Space form — In mathematics, a space form is a complete Riemannian manifold M of constant sectional curvature K . Reduction to generalized crystallographyIt is a theorem of Riemannian geometry that the universal cover of an n dimensional space form M^n with… … Wikipedia
Riemannian submersion — In differential geometry, a branch of mathematics, a Riemannian submersion is a submersion from one Riemannian manifold to another that respects the metrics, meaning that it is an orthogonal projection on tangent spaces. Let (M, g) and (N, h) be… … Wikipedia
Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… … Wikipedia
Riemannian circle — In metric space theory and Riemannian geometry, the term Riemannian circle refers to a great circle equipped with its great circle distance. In more detail, the term refers to the circle equipped with its intrinsic Riemannian metric of a compact… … Wikipedia
Riemannian geometry — Geom. 1. Also called elliptic geometry. the branch of non Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that in a plane every pair of distinct lines intersects. Cf. hyperbolic geometry. 2. the… … Universalium
Riemannian connection on a surface — For the classical approach to the geometry of surfaces, see Differential geometry of surfaces. In mathematics, the Riemannian connection on a surface or Riemannian 2 manifold refers to several intrinsic geometric structures discovered by Tullio… … Wikipedia
Riemannian Penrose inequality — In mathematical general relativity, the Penrose inequality, first conjectured by Sir Roger Penrose, estimates the mass of a spacetime in terms of the total area of its black holes and is a generalization of the positive mass theorem. The… … Wikipedia
