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Qu'est-ce (qui) est curvature$18241$ - définition

POINT AT A DISTANCE FROM THE CURVE EQUAL TO THE RADIUS OF CURVATURE LYING ON THE NORMAL VECTOR

Center of Curvature; Centre of curvature

Ricci curvature

2-TENSOR OBTAINED AS A CONTRACTION OF THE RIEMAN CURVATURE 4-TENSOR ON A RIEMANNIAN MANIFOLD (OR, MORE GENERALLY, A SMOOTH MANIFOLD EQUIPPED WITH AFFINE CONNECTION)

Ricci-curvature; Ricci curvature tensor; Ricci tensor; Trace-free Ricci tensor; Ricci form; Ricci Curvature

In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian or pseudo-Riemannian metric on a manifold. It can be considered, broadly, as a measure of the degree to which the geometry of a given metric tensor differs locally from that of ordinary Euclidean space or pseudo-Euclidean space.

https://en.wikipedia.org/wiki/Ricci_curvature

Radius of curvature

RADIUS OF A CIRCLE WHICH BEST APPROXIMATES A CURVE IN A GIVEN POINT

Radius of curvature (applications); Radius of curvature (mathematics)

In differential geometry, the radius of curvature, , is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point.

https://en.wikipedia.org/wiki/Radius_of_curvature

Curvatures of the stomach

LOWER LEFT OR LATERAL EDGE OF THE STOMACH

Lesser curvature of the stomach; Lesser curvature; Greater curvature; Greater curvature of stomach; Lesser curvature of stomach; Greater curve of the stomach; Curvatura major gastris; Curvatura major; Curvatura minor gastris; Curvatura minor; Greater curvature of the stomach; Greater curvatures; Curvatures of stomach; Curvature of the stomach; Curvature of stomach; Lesser curvatures

The curvatures of the stomach refer to the greater and lesser curvatures. The greater curvature of the stomach is four or five times as long as the lesser curvature.

https://en.wikipedia.org/wiki/Curvatures_of_the_stomach

Wikipédia

Center of curvature

In geometry, the center of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector. It is the point at infinity if the curvature is zero. The osculating circle to the curve is centered at the centre of curvature. Cauchy defined the center of curvature C as the intersection point of two infinitely close normal lines to the curve. The locus of centers of curvature for each point on the curve comprise the evolute of the curve. This term is generally used in physics regarding the study of lenses and mirrors (see radius of curvature (optics)).

It can also be defined as the spherical distance between the point at which all the rays falling on a lens or mirror either seems to converge to (in the case of convex lenses and concave mirrors) or diverge from (in the case of concave lenses or convex mirrors) and the lens/mirror itself.

https://en.wikipedia.org/wiki/Center of curvature