Assertion: affine connection | /r/HasProperty | geometric object
Facets:
value: on a smooth manifold
type: LOCATION
value: in the branch of mathematics
type: LOCATION
Source sentences:
text: In the branch of mathematics called differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space.