local geometry
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Geometry and topology — In mathematics, geometry and topology is an umbrella term for geometry and topology, as the line between these two is often blurred, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and… … Wikipedia
Local ring — In abstract algebra, more particularly in ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called local behaviour , in the sense of functions defined on varieties or manifolds, or of… … Wikipedia
Local property — In mathematics, a phenomenon is sometimes said to occur locally if, roughly speaking, it occurs on sufficiently small or arbitrarily small neighborhoods of points. Contents 1 Properties of a single space 1.1 Examples 2 Properties of a pair of… … Wikipedia
Local cohomology — In mathematics, local cohomology is a chapter of homological algebra and sheaf theory introduced into algebraic geometry by Alexander Grothendieck. He developed it in seminars in 1961 at Harvard University, and 1961 2 at IHES. It was later… … Wikipedia
Local reference frame — In theoretical physics, a local reference frame (local frame) refers to a coordinate system or frame of reference that is only expected to function over a small region or a restricted region of space or spacetime. The term is most often used in… … Wikipedia
Local system — In mathematics, local coefficients is an idea from algebraic topology, a kind of half way stage between homology theory or cohomology theory with coefficients in the usual sense, in a fixed abelian group A , and general sheaf cohomology which,… … Wikipedia
geometry — noun ADJECTIVE ▪ algebraic, coordinate, differential, fractal, solid, three dimensional ▪ Euclidean, non Euclidean ▪ … Collocations dictionary
local — {{Roman}}I.{{/Roman}} noun Local is used after these nouns: ↑union {{Roman}}II.{{/Roman}} adj. Local is used with these nouns: ↑accent, ↑accountability, ↑administration, ↑affair, ↑agency, ↑agent, ↑airport, ↑ … Collocations dictionary
Local zeta-function — In number theory, a local zeta function is a generating function : Z ( t ) for the number of solutions of a set of equations defined over a finite field F , in extension fields Fk of F . FormulationThe analogy with the Riemann zeta function… … 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
differential geometry — Math. the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces. * * * Field of mathematics in which methods of calculus are applied to the local geometry … Universalium
