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Tensor product bundle

In differential geometry, the tensor product of vector bundles E, F is a vector bundle, denoted by E ⊗ F, whose fiber over each point x ∈ X is the tensor product of vector spaces Ex ⊗ Fx.

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One can also define a symmetric power and an exterior power of a vector bundle in a similar way. For example, a section of \Lambda^p T^* M is a differential -form and a section of \Lambda^p T^* M \otimes E is a differential -form with values in a vector bundle. == See also ==
Source: Wikipedia ↗
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