Multilinear Algebra and Tensors
Smooth functions, vector fields and 1-forms are tensors of fairly simple types. In order to handle higher order tensors, we will need some rather sophisticated multilinear algebra. The reader who is well grounded in the multilinear algebra of R-modules can skip ahead to Section 7.4, referring to the first three sections only as needed.
KeywordsVector Bundle Canonical Isomorphism Covariant Functor Multilinear Algebra Exterior Algebra
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