A Basic Operations of Tensor Algebra - Springer
172 A Basic Operations of Tensor Algebra For a given basis e i any vector a can be represented as follows a = a1e1 +a2e2 +a3e3 ≡ aie i The numbers ai are called the coordinates of the vector aa for the basis e i.In order to compute the coordinates ai the dual (reciprocal) basis ek is introduced in such a way that ek ·· e i = δ k = 1, k = i, 0, k = i δk i is the Kronecker symbol. The ...
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