- sense of curvature
- знак кривизны, направление выпуклости
English-russian dictionary of physics. 2013.
sense of curvature
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Curvature collineation — A curvature collineation (often abbreviated to CC) is vector field which preserves the Riemann tensor in the sense that, where Rabcd are the components of the Riemann tensor. The set of all smooth curvature collineations forms a Lie algebra under … Wikipedia
Ricci curvature — In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci Curbastro, provides one way of measuring the degree to which the geometry determined by a given Riemannian metric might differ from that of ordinary Euclidean n… … Wikipedia
Menger curvature — In mathematics, the Menger curvature of a triple of points in n dimensional Euclidean space Rn is the reciprocal of the radius of the circle that passes through the three points. It is named after the Austrian American mathematician Karl Menger.… … Wikipedia
Inverse mean curvature flow — In the field of differential geometry in mathematics, inverse mean curvature flow (IMCF) is an example of a geometric flow of hypersurfaces a Riemannian manifold (for example, smooth surfaces in 3 dimensional Euclidean space). Intuitively, a… … Wikipedia
Sectional curvature — In Riemannian geometry, the sectional curvature is one of the ways to describe the curvature of Riemannian manifolds. The sectional curvature K(σp) depends on a two dimensional plane σp in the tangent space at p. It is the Gaussian curvature of… … Wikipedia
Affine curvature — This article is about the curvature of affine plane curves, not to be confused with the curvature of an affine connection. Special affine curvature, also known as the equi affine curvature or affine curvature, is a particular type of curvature… … Wikipedia
Constant curvature — See also: Space form In mathematics, constant curvature in differential geometry is a concept most commonly applied to surfaces. For those the scalar curvature is a single number determining the local geometry, and its constancy has the obvious… … Wikipedia
Absolute curvature — Absolute Ab so*lute, a. [L. absolutus, p. p. of absolvere: cf. F. absolu. See {Absolve}.] 1. Loosed from any limitation or condition; uncontrolled; unrestricted; unconditional; as, absolute authority, monarchy, sovereignty, an absolute promise or … The Collaborative International Dictionary of English
Grothendieck–Katz p-curvature conjecture — In mathematics, the Grothendieck–Katz p curvature conjecture is a problem on linear ordinary differential equations, related to differential Galois theory and in a loose sense analogous to the result in the Chebotarev density theorem considered… … Wikipedia
Chord of curvature — Chord Chord (k[^o]rd), n. [L chorda a gut, a string made of a gut, Gr. chordh . In the sense of a string or small rope, in general, it is written cord. See {Cord}.] 1. The string of a musical instrument. Milton. [1913 Webster] 2. (Mus.) A… … The Collaborative International Dictionary of English
Gauss–Bonnet theorem — The Gauss–Bonnet theorem or Gauss–Bonnet formula in differential geometry is an important statement about surfaces which connects their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic). It is named … Wikipedia
