2022-03-02   09894

Tensor Fields on Smooth Manifolds

Physics is usually expressed with the help of a coordinate system, but a coordinate system is just a way of labeling the points of spacetime (or space), and nature should not care how we label things. This article introduces the concept of a tensor field. Explicit equations involving tensor fields are often written in terms of coordinates, which tends to obscure the fact that a tensor field is --- by definition --- independent of coordinates. This article defines tensor fields without using coordinates.

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www.cphysics.org updated 2022-09-25