In mathematics, a vector-valued differential form on a manifold M is a differential form on M with values in a vector space V. More generally, it is a differential form with values in some vector bundle E over M. Ordinary differential forms can be viewed as R-valued differential forms. Vector-valued forms are natural objects in differential geometry and have numerous applications.
Read more about Vector-valued Differential Form: Formal Definition, Lie Algebra-valued Forms, Basic or Tensorial Forms On Principal Bundles
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