Tensor bundle

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In mathematics, the tensor bundle of a manifold is the direct sum of all tensor products of the tangent bundle and the cotangent bundle of that manifold. To do calculus on the tensor bundle a connection is needed.

See also [edit]

Glossary of tensor theory

Scope

Mathematics	coordinate system multilinear algebra Euclidean geometry differential geometry exterior calculus tensor calculus

Physics Engineering	continuum mechanics electromagnetism transport phenomena general relativity computer vision

Notation

Tensor definitions

Related abstractions

Notable tensors

Mathematics	Kronecker delta Levi-Civita symbol metric tensor Christoffel symbols Ricci curvature Riemann curvature tensor Weyl tensor torsion tensor

Physics	moment of inertia angular momentum tensor Cauchy stress tensor stress–energy tensor EM tensor gluon field strength tensor Einstein tensor metric (GR)

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