affine covariant
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Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… … Wikipedia
Covariant derivative — In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a… … Wikipedia
Covariant et contravariant — En algèbre linéaire, multilinéaire ou en géométrie différentielle, les adjectifs covariant et contravariant désignent la manière dont les composantes d une grandeur (vecteur, tenseur) s expriment, suivant qu on utilise la base vectorielle de… … Wikipédia en Français
Affine focal set — In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a… … Wikipedia
Harris affine region detector — In the fields of computer vision and image analysis, the Harris affine region detector belongs to the category of feature detection. Feature detection is a preprocessing step of several algorithms that rely on identifying characteristic points or … Wikipedia
Hessian Affine region detector — The Hessian Affine region detector is a feature detector used in the fields of computer vision and image analysis. Like other feature detectors, the Hessian Affine detector is typically used as a preprocessing step to algorithms that rely on… … Wikipedia
Connexion affine — Une connexion affine sur la sphère fait rouler le plan affine tangent d un point à un autre. Dans ce déplacement, le point de contact trace une courbe du plan : le développement. En mathématiques, et plus précisément en géométrie… … Wikipédia en Français
Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources … Wikipedia
Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the … Wikipedia
Torsion tensor — In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet Serret formulas, for instance, quantifies the twist of a curve… … Wikipedia
Einstein–Cartan theory — in theoretical physics extends general relativity to correctly handle spin angular momentum. As the master theory of classical physics general relativity has one known flaw: it cannot describe spin orbit coupling , i.e., exchange of intrinsic… … Wikipedia
