Assertion: ricci curvature | /r/CapableOf | vanish on entire manifold
Facets:
value: by a conformal rescaling
type: MANNER
value: identically
type: MANNER
Source sentences:
text: In particular, given a point p in a Riemannian manifold, it is always possible to find metrics conformal to the given metric g for which the Ricci tensor vanishes at p. Note, however, that this is only pointwise assertion; it is usually impossible to make the Ricci curvature vanish identically on the entire manifold by a conformal rescaling.