A covector field on a manifold \(M\) is a section on the fiber section bundle \((T^*M, \pi, M)\), where \(T^*M\) denotes the cotangent bundle . To be more precise it assigns to each point \(p \in M\) a covector in the cotangent space \(T_p^*M\).
Remark
- interpretation
- A covector field is a differential 1-form .