Tensors and Differential Forms

  • Frank W. Warner
Part of the Graduate Texts in Mathematics book series (GTM, volume 94)


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.


Vector Field Differential Form Tensor Field Algebra Homomorphism Integral Manifold 
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Copyright information

© Frank W. Warner 1983

Authors and Affiliations

  • Frank W. Warner
    • 1
  1. 1.Department of Mathematics E1University of PennsylvaniaPhiladelphiaUSA

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