Torsion-free connection
= Torsion-free connection
{wiki=Torsion_tensor}
A connection on the tangent bundle is torsion-free when $\nabla_XY-\nabla_YX=[X,Y]$. Its Christoffel symbols are symmetric in their two lower indices.
= Torsion-free connection
{wiki=Torsion_tensor}
A connection on the tangent bundle is torsion-free when $\nabla_XY-\nabla_YX=[X,Y]$. Its Christoffel symbols are symmetric in their two lower indices.