Definition:Tensor Rank
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Definition
Let $F$ be a tensor of type $\tuple {l, k}$.
Then the tensor rank of $F$ is the sum $l + k$.
In other words, it is the total number of vectors and covectors it can act upon.
Sources
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.): Appendix $\text B$. Review of Tensors