Differential geometry MOC 1-form Let be a -manifold. A 1-form or covector field is something which eats vector fields and spits out scalar fields in a linear fashion. #m/def/geo/diff In more precise terms, a 1-form is a -module homomorphism As a section The above definition is equivalent to a -section of the cotangent bundle. As a special case of Differential form, we denote the set of 1-forms on as At a point, each 1-form restricts to an -linear form on the tangent space, i.e. a cotangent vector. Proof of equivalence proof develop | en | sembr