riemann: Riemann curvature tensor

In ricci: Ricci Calculus

Riemann curvature tensor

Description

Provides the covariant Riemann curvature tensor R_{ijkl}.

Usage

riemann(g)

Arguments

g	A covariant metric tensor, a "metric_field" object. See metric_field() to create a new metric tensor, or use predefined metrics, e.g. g_eucl_cart().

Value

Returns the covariant Riemann curvature tensor R_{ijkl} as rank 4 array().

See Also

Wikipedia: Riemann curvature tensor

Other geometric tensors: christoffel(), ricci(), ricci_sc()

Examples

riemann(g_eucl_sph(3))

ricci documentation built on Sept. 9, 2025, 5:56 p.m.