Glossary of tensor theory

Definition

This is a glossary of tensor theory. For expositions of tensor theory from different points of view, see:Tensor Tensor Application of tensor theory in engineering science

Related concepts

Abelian group Abstract index notation Affine connection Albert Einstein Alfred Schild Angular momentum Antisymmetric tensor Application of tensor theory in engineering science Augustin-Louis Cauchy Basis (linear algebra)Bernhard Riemann Bilinear map Binary operation Carl Friedrich Gauss Cartan formalism (physics)Cartesian coordinates Cartesian tensor Cauchy stress tensor Clifford module Computer vision Connection form Continuum mechanics Coordinate system Covariance and contravariance of vectors Covariant derivative Derived category Derived functor Differential form Differential geometry Dimension Donald A. Danielson Dover Publications Dyadic tensor Dyadics Einstein notation Einstein tensor Elasticity (physics)Electromagnetic tensor Electromagnetism Elwin Bruno Christoffel Engineering Euclidean geometry Euclidean space Exterior algebra Exterior calculus Exterior covariant derivative Exterior derivative Exterior form Exterior product Fiber bundle Fluid mechanics Free algebra General relativity Geodesic Gluon field strength tensor Graded algebra Gregorio Ricci-Curbastro Grothendieck's six operations Hermann Grassmann Hermann Weyl Hodge star operator Homological algebra Index notation Jacobian matrix Jan Arnoldus Schouten John L. Synge Killing spinor Kronecker delta Leonhard Euler Levi-Civita connection Levi-Civita symbol Lie derivative Linear map Manifold Mathematician Mathematics Matrix (mathematics)Metric tensor Metric tensor (general relativity)Mixed tensor Moment of inertia Multi-index notation Multilinear algebra Multiple cross products Multivector Nonmetricity tensor One-form Operation (mathematics)Penrose graphical notation Physics Pin group Pinor Polynomial algebra Pseudotensor Raising and lowering indices Ricci calculus Ricci curvature Richard L. Bishop Riemann curvature tensor Segre embedding Spin-c group Spin group Spin manifold Spin tensor Spinor Spinor field Strain tensor Stress–energy tensor Symbolic method of invariant theory Symmetric tensor Symmetrization Tensor Tensor (intrinsic definition)Tensor algebra Tensor bundle Tensor calculus Tensor contraction Tensor density Tensor derivative Tensor field Tensor operator Tensor order Tensor product Tensor product of R-algebras Tensor product of fields Tensor rank Tensor theory Tensors in curvilinear coordinates Tetrad (index notation)Tor functor Torsion subgroup Torsion tensor Trace (matrix)Transport phenomena Transpose Tullio Levi-Civita Two-point tensor Van der Waerden notation Vector (mathematics and physics)Vector space Voigt notation Wedge product Weyl tensor Woldemar Voigt Élie Cartan

40 concepts already in your glossary