  It is important to note here that the validity of Weyl’s assertion  that the metric field does not cease to exist but is in a state of  rest, has its source in the mathematical fact that the metric field  is a \(G\)-structure. A \(G\)-structure may be flat or non-flat; but a  \(G\)-structure can never vanish. Consequently, geometric fields  characterizable as \(G\)-structures, such as the projective, conformal,  affine and metric structures, do not   vanish.[60] 