The tensor bundle will not be a differentiable manifold in the normal sense, since it is infinite dimensional. It's however an algebra over the ring of scalar functions. Each tensor is characterized by its ranks, which point out how many tangent and cotangent elements it has. Typically these ranks are referred to as covariant and contravariant ranks, signifying tangent and cotangent ranks, respectively. A body (or, in more exact terms, reverse aging technology a tangent frame), is an ordered basis of specific tangent house. Likewise, a tangent body is a linear isomorphism of Rn to this tangent area. If you cherished this article and you also would like to obtain more info about More suggestions generously visit our site. A transferring tangent frame is an ordered list of vector fields that give a foundation at every point of their domain.
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