Umbilical properties of spacelike co-dimension two submanifolds

Nastassja Cipriani, José M. M. Senovilla, Joeri Van der Veken

For Riemannian submanifolds of a semi-Riemannian manifold, we introduce the concepts of \emph{total shear tensor} and \emph{shear operators} as the trace-free part of the correspon…