geodesic space

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• 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 dome — Spaceship Earth at Epcot, Walt Disney World, a geodesic sphere A geodesic dome is a spherical or partial spherical shell structure or lattice shell based on a network of great circles (geodesics) on the surface of a sphere. The geodesics… …   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 map — In mathematics mdash; specifically, in differential geometry mdash; a geodesic map (or geodesic mapping or geodesic diffeomorphism) is a function that preserves geodesics . More precisely, given two (pesudo )Riemannian manifolds ( M , g ) and ( N …   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 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 airframe — A geodesic airframe (alternatively, geodetic) is a type of construction for the airframes of aircraft. It makes use of a space frame formed from a spirally crossing basket weave of load bearing membersButtler, p.93] . The principle is that two… …   Wikipedia

• 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

• space frame — Three dimensional truss based on the rigidity of the triangle and composed of linear elements subject only to compression or tension. Its simplest spatial unit is a tetrahedron having four joints and six members. A space frame forms a very strong …   Universalium

• CAT(k) space — In mathematics, a CAT( k ) space is a specific type of metric space. Intuitively, triangles in a CAT( k ) space are slimmer than corresponding model triangles in a standard space of constant curvature k . In a CAT( k ) space, the curvature is… …   Wikipedia