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A vector bundle assembled from tensor powers of tangent and cotangent bundles.
wp-tensor_bundlenlab-vector-bundleEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Tensor powers and duals of tangent bundles form tensor bundles.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-tensor_bundlenlab-vector-bundleEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A tensor field is a smooth section of a tensor bundle.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-tensor_fieldnlab-tensor_field