Spatial rotation vector field
= Spatial rotation vector field
{title2=$\Omega_{ij}=x_i\partial_j-x_j\partial_i$}
The <vector field> $\Omega_{ij}=x_i\partial_j-x_j\partial_i$ is an infinitesimal spatial rotation. It commutes with the flat <d'Alembert operator> and supplies angular derivatives in the <Klainerman-Sobolev inequality>.