Tensors and Differential Forms
There are a number of vector spaces and algebras naturally associated with the tangent space M m . Suitably smooth assignments of elements of these spaces to the points in M yield tensor fields and differential forms of various types. We shall first develop some of the pertinent facts from multilinear algebra, and then beginning with 2.14 we shall apply these concepts to manifolds.
KeywordsVector Field Differential Form Tensor Field Algebra Homomorphism Integral Manifold
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