christoffel: Christoffel symbols

In ricci: Ricci Calculus

Christoffel symbols

Description

Provides the Christoffel symbols of the first kind \Gamma_{ijk} with respect to the Levi Civita connection for a given metric tensor.

Usage

christoffel(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().

Details

The Christoffel symbols are a rank 3 array of numbers.

Value

Returns the Christoffel symbols of the first kind \Gamma_{ijk} as rank 3 array().

See Also

Wikipedia: Christoffel symbols

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

Examples

christoffel(g_eucl_sph(3))

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