Re:Why tensors? A beginner's perspective
by ABeeSea on Thursday March 10, 2022 @11:46AM
(#30628987)
> 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.
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.