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• 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 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

• 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

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   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

• Kepler problem in general relativity — The Kepler problem in general relativity involves solving for the motion of two spherical bodies interacting with one another by gravitation, as described by the theory of general relativity.Typically, and in this article, one body is assumed to… …   Wikipedia

• Theoretical motivation for general relativity — A Theoretical motivation for general relativity, including the motivation for the geodesic equation and the Einstein field equation, can be obtained from special relativity by examining the dynamics of particles in circular orbits about the earth …   Wikipedia

• Newtonian motivations for general relativity — Some of the basic concepts of General Relativity can be outlined outside the relativistic domain. In particular, the idea that mass/energy generates curvature in space and that curvature affects the motion of masses can be illustrated in a… …   Wikipedia

• Born coordinates — / ) are time like curves with fixed R .In relativistic physics, the Born coordinate chart is a coordinate chart for (part of) Minkowski spacetime, the flat spacetime of special relativity. It is often used to analyze the physical experience of… …   Wikipedia

• 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

• 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

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