sectional curvature
scalar quantity; given two unit tangent vectors u, v at the same point, defined as K(u,v) = ⟨R(u,v)v,u⟩/(1-⟨u,v⟩²), where R is the Riemann curvature
Press Enter · cited answer in seconds
0 sources
sectional curvature
Summary
sectional curvature is a curvature of Riemannian manifolds[1]. It draws 59 Wikipedia views per month (curvature_of_riemannian_manifolds category, ranking #1 of 1).[2]
Key Facts
- sectional curvature's instance of is recorded as curvature of Riemannian manifolds[3].
- sectional curvature's instance of is recorded as mathematical object[4].
- sectional curvature's Freebase ID is recorded as /m/01pzql[5].
- sectional curvature's defining formula is recorded as K(u,v)=\frac{\langle R(u,v)v,u\rangle}{\langle u,u\rangle\langle v,v\rangle-\langle u,v\rangle^2}[6].
- sectional curvature's MathWorld ID is recorded as SectionalCurvature[7].
- sectional curvature's nLab ID is recorded as sectional curvature[8].
- sectional curvature's maintained by WikiProject is recorded as WikiProject Mathematics[9].
- sectional curvature's Microsoft Academic ID is recorded as 42448751[10].
- sectional curvature's in defining formula is recorded as R[11].
- sectional curvature's in defining formula is recorded as \langle~,~\rangle[12].
- sectional curvature's in defining formula is recorded as K[13].
- sectional curvature's in defining formula is recorded as u[14].
- sectional curvature's in defining formula is recorded as v[15].
- sectional curvature's OpenAlex ID is recorded as C42448751[16].
- sectional curvature's Lexikon der Mathematik entry ID is recorded as 8832[17].
Why It Matters
sectional curvature draws 59 Wikipedia views per month (curvature_of_riemannian_manifolds category, ranking #1 of 1).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[18]