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by ABeeSea
1562 days ago
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> Instead, author describes what mathematicians call “a tensor bundle”, which is a correspondence that assigns each point of space a unique tensor. Technically, that’s a tensor field which is a section of the tensor bundle. Similarly, a vector field is a section of the tangent bundle (the collection of all the tangent spaces of the points on the manifold). A vector field is just a choice of a tangent vector for each point from that point’s tangent space. |
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