first curvature
1Curvature invariant (general relativity) — Curvature invariants in general relativity are a set of scalars called curvature invariants that arise in general relativity. They are formed from the Riemann, Weyl and Ricci tensors which represent curvature and possibly operations on them such… …
2Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this …
3Curvature of Riemannian manifolds — In mathematics, specifically differential geometry, the infinitesimal geometry of Riemannian manifolds with dimension at least 3 is too complicated to be described by a single number at a given point. Riemann introduced an abstract and rigorous… …
4Curvature form — In differential geometry, the curvature form describes curvature of a connection on a principal bundle. It can be considered as an alternative to or generalization of curvature tensor in Riemannian geometry. Contents 1 Definition 1.1 Curvature… …
5First fundamental form — In differential geometry, the first fundamental form is the inner product on the tangent space of a surface in three dimensional Euclidean space which is induced canonically from the dot product of R 3 . It permits the calculation of curvature… …
6First variation of area formula — In Riemannian geometry, the first variation of area formula relates the mean curvature of a hypersurface to the rate of change of its area as it evolves in the outward normal direction. Let Sigma(t) be a smooth family of oriented hypersurfaces in …
7First class constraint — In Hamiltonian mechanics, consider a symplectic manifold M with a smooth Hamiltonian over it (for field theories, M would be infinite dimensional). Poisson bracketsSuppose we have some constraints : f i(x)=0, for n smooth functions :{ f i } {i=… …
8First Hurwitz triplet — In the mathematical theory of Riemann surfaces, the first Hurwitz triplet is a triple of distinct Hurwitz surfaces with the identical automorphism group of the lowest possible genus, namely 14 (genera 3 and 7 admit a unique Hurwitz surface,… …
9first fundamental form — noun the Riemannian metric for 2 dimensional manifolds, i.e. given a surface with regular parametrization x(u,v), the first fundamental form is a set of three functions, E, F, G, dependent on u and v, which give information about local intrinsic… …
10first derivative — noun the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx • Syn: ↑derived function, ↑derivative, ↑differential coefficient, ↑differential • Derivationally related forms: ↑differential …
