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projective invariant

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  • Projective differential geometry — In mathematics, projective differential geometry is the study of differential geometry, from the point of view of properties that are invariant under the projective group. This is a mixture of attitudes from Riemannian geometry, and the Erlangen… …   Wikipedia

  • Invariant theory — is a branch of abstract algebra that studies actions of groups on algebraic varieties from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit description of polynomial functions that do not …   Wikipedia

  • Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th …   Wikipedia

  • invariant — invariant, iante [ ɛ̃varjɑ̃, jɑ̃t ] adj. et n. m. • 1877; de 1. in et varier, par l angl. invariant (1851) ♦ Sc. Se dit d une grandeur, d une expression, d une relation ou d une propriété qui se conserve dans une transformation de nature physique …   Encyclopédie Universelle

  • projective geometry — the geometric study of projective properties. [1880 85] * * * Branch of mathematics that deals with the relationships between geometric figures and the images (mappings) of them that result from projection. Examples of projections include motion… …   Universalium

  • Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… …   Wikipedia

  • projective geometry — noun a branch of mathematics that investigates those properties of figures that are invariant when projected from a point to a line or plane …   Wiktionary

  • projective geometry — noun the geometry of properties that remain invariant under projection • Syn: ↑descriptive geometry • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry …   Useful english dictionary

  • Geometric invariant theory — In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper… …   Wikipedia

  • de Sitter invariant special relativity — In mathematical physics, de Sitter invariant special relativity is the speculative idea that the fundamental symmetry group of spacetime is the Indefinite orthogonal group SO(4,1), that of de Sitter space. In the standard theory of General… …   Wikipedia

  • Differential invariant — In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and… …   Wikipedia

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