Tensors in finite dimension
Tensor calculus

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Tensors in finite dimension
Tensor calculus

Author : Gilles CHÂTELET

Publication date: November 10, 1982 | Lire en français

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2. Tensors in finite dimension

We now define the most general contravariant and covariant objects: tensors. These are obtained either intrinsically from multilinear forms on E, which we shall now define, or as arrays associated with the bases of E and subject to certain rules when changing base.

Note: the first definition requires a mathematical formalization. On first reading, you may be satisfied with a study of paragraphs 2.1 and 2.2

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