Assertion: isometry | /r/HasProperty | morphism
Facets:
value: between inner product spaces
type: LOCATION
value: in the category of riemannian manifolds
type: OTHER
Source sentences:
text: Isometries are morphisms between inner product spaces, and morphisms of real inner product spaces are orthogonal transformations (compare with orthogonal matrix).
text: Isometries are morphisms between inner product spaces, and morphisms of real inner product spaces are orthogonal transformations (compare with orthogonal matrix).
text: Isometries are the morphisms in the category of Riemannian manifolds (i.e., manifolds with metric tensor).