geodesic distance

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• Distance (graph theory) — Geodesic distance redirects here. For distances on the surface of the Earth, see Great circle distance. In the mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path connecting… …   Wikipedia

• Geodesic convexity — In mathematics mdash; specifically, in Riemannian geometry mdash; geodesic convexity is a natural generalization of convexity for sets and functions to Riemannian manifolds. It is common to drop the prefix geodesic and refer simply to convexity… …   Wikipedia

• Geodesic — [ great circle arcs.] In mathematics, a geodesic IPA|/ˌdʒiəˈdɛsɪk, ˈdisɪk/ [jee uh des ik, dee sik] is a generalization of the notion of a straight line to curved spaces . In presence of a metric, geodesics are defined to be (locally) the… …   Wikipedia

• Geodesic (general relativity) — This article is about the use of geodesics in general relativity. For the general concept in geometry, see geodesic. General relativity Introduction Mathematical formulation Resources …   Wikipedia

• Geodesic manifold — In mathematics, a geodesic manifold (or geodesically complete manifold) is a surface on which any two points can be joined by a shortest path, called a geodesic.DefinitionLet (M, g) be a (connected) (pseudo ) Riemannian manifold, and let gamma :… …   Wikipedia

• Geodesic curvature — In differential geometry, the geodesic curvature vector is a property of curves in a metric space which reflects the deviance of the curve from following the shortest arc length distance along each infinitesimal segment of its length.The vector… …   Wikipedia

• Geodesic deviation equation — In differential geometry, the geodesic deviation equation is an equation involving the Riemann curvature tensor, which measures the change in separation of neighbouring geodesics. In the language of mechanics it measures the rate of relative… …   Wikipedia

• geodesic — a curve drawn upon a surface such that, if one takes any two adjacent points on the curve, the curve gives the shortest surface distance between them. The spiral rows of scales around and along the body of a fish usually forms a geodesic as may… …   Dictionary of ichthyology

• geodesic — The shortest distance between two points on any surface. The shortest distance between two places on earth derived mathematically is called a geodetic line. Great circle is the shortest distance between two points …   Aviation dictionary

• Comoving distance — Physical cosmology Universe · Big Bang …   Wikipedia

• Great-circle distance — The great circle distance is the shortest distance between any two points on the surface of a sphere measured along a path on the surface of the sphere (as opposed to going through the sphere s interior). Because spherical geometry is rather… …   Wikipedia