Curvature
71Affine 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… …
72Riemann curvature tensor — In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor is the most standard way to express curvature of Riemannian manifolds. It is one of many things named after Bernhard Riemann and Elwin… …
73Menger 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.… …
74Constant 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… …
75Radius of curvature (optics) — Radius of curvature has specific meaning and sign convention in optical design. A spherical lens or mirror surface has a center of curvature located in (x, y, z) either along or decentered from the system local optical axis. The vertex… …
76Geodesic curvature — In differential geometry, the geodesic curvature vector is a property of curves in a metric space which reflects the deviance of the curve from following the shortest arc length distance along each infinitesimal segment of its length.The vector… …
77Mean curvature flow — In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3 dimensional Euclidean space). Intuitively, a family of… …
78Total curvature — In mathematical study of the differential geometry of curves, the total curvature of a plane curve is the integral of curvature along a curve taken with respect to arclength::int a^b k(s),ds.The total curvature of a closed curve is always an… …
79Greater curvature of the stomach — Infobox Anatomy Name = PAGENAME Latin = curvatura major gastris GraySubject = 247 GrayPage = 1162 Caption = Outline of stomach, showing its anatomical landmarks. Caption2 = Diagram from [http://training.seer.cancer.gov/ss module07 ugi/unit02… …
80Non-positive curvature — In mathematics, spaces of non positive curvature occur in many contexts and form a generalization of hyperbolic geometry. In the category of Riemannian manifolds, one can consider the sectional curvature of the manifold and require that this… …
