Schouten

Schouten
is a reserved word in xTras. It is used to generate the name of the Schouten curvature tensor associated to a connection acting on a tangent bundle.
  • The Schouten tensor is defined such that the Weyl tensor can be expressed solely in terms of the Riemann tensor and the Schouten tensor, without having to use the Ricci scalar.
  • The name of the Schouten tensor is "Schouten + name of covariant derivative".