Assertion: connection | /r/HasProperty | defined on the tangent bundle
Facets:
Source sentences:
text: linear connection (instead of affine connection) for a connection on the tangent bundle, on the grounds that affine connection is short for an affine connection in the sense of Cartan, and this implies that the connection is defined on the tangent bundle, rather than an arbitrary vector bundle.
text: Originally the termis short for an affinein the sense of Cartan, and this implies that the connection is defined on the tangent bundle, rather than an arbitrary vector bundle.