Curvature tensors

product of the principal curvatures of a surface

scalar quantity constructed out of second derivatives of a (pseudo-)Riemannian metric

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

measure of the curvature of a pseudo-Riemannian manifold

Lie-algebra-valued two-form that describes the curvature of a principal bundle

second-order tensor