Nowhere locally homogeneous metric
= Nowhere locally homogeneous metric
= Nowhere homogeneous metric
{synonym}
A smooth <Riemannian metric> with no nonidentity <local isometry> between open subsets. Equivalently distinct nonempty open subsets never have isometric induced metrics. This strong local rigidity is also called bumpy in some spectral-geometry treatments; it is distinct from the closed-geodesic nondegeneracy convention for bumpy metrics.