Sen spinor connection (source code)

= Sen spinor connection
{c}
{title2=$\nabla_i=D_i^{(3)}-\tfrac12 k_{ij}\gamma^j\gamma^{\hat0}$}

Restrict the spacetime <spin connection> to a spacelike hypersurface. With future unit normal $n$ and convention $k_{ij}=-g(\nabla_i n,e_j)$, it differs from the intrinsic spin connection by the displayed <extrinsic curvature> term. Its spatial <Dirac operator> is the operator in the <Witten spinor equation>; replacing it by the intrinsic operator would omit the ADM momentum contribution.