Definition:Contravariant Tensor

Definition

Let $F$ be a tensor of type $\tuple {0, l}$:

$\ds F : \underbrace{{V^*} \times \ldots \times {V^*}}_{\text {$l$ times}} \to \R$

Then $F$ is called a contravariant $l$-tensor (on $V$).

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Also see

• Results about contravariant tensors can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): contravariant tensor
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): contravariant tensor
• 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.): Appendix $\text B$. Review of Tensors