Show that the scalar $K$, which, according to Eq. (5.366), is constructed from the extrinsic curvature as $K=g^{\mu v} K_{\mu u}$, is equal to the covariant divergence of the normal vector field, $K=abla_{\mu} n^{\mu}$, on the hypersurface.

Eq. (5.366)

Transcribed Image Text:

K = g Kv