- Coframe
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In mathematics, a coframe or coframe field on a smooth manifold M is a system of one-forms or covectors which form a basis of the cotangent bundle at every point. In the exterior algebra of M, one has a natural map from
, given by
. If M is n dimensional a coframe is given by a section σ of
such that
. The inverse image under vn of the complement of the zero section of
forms a GL(n) principal bundle over M, which is called the coframe bundle.
See also
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