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Tensors
Glossary of tensor theory
Scope
Mathematics
  • Coordinate system
  • Differential geometry
  • Dyadic algebra
  • Euclidean geometry
  • Exterior calculus
  • Multilinear algebra
  • Tensor algebra
  • Tensor calculus
  • Physics
  • Engineering
  • Computer vision
  • Continuum mechanics
  • Electromagnetism
  • General relativity
  • Transport phenomena
Notation
  • Abstract index notation
  • Einstein notation
  • Index notation
  • Multi-index notation
  • Penrose graphical notation
  • Ricci calculus
  • Tetrad (index notation)
  • Van der Waerden notation
  • Voigt notation
Tensor
definitions
  • Tensor (intrinsic definition)
  • Tensor field
  • Tensor density
  • Tensors in curvilinear coordinates
  • Mixed tensor
  • Antisymmetric tensor
  • Symmetric tensor
  • Tensor operator
  • Tensor bundle
  • Two-point tensor
Operations
  • Covariant derivative
  • Exterior covariant derivative
  • Exterior derivative
  • Exterior product
  • Hodge star operator
  • Lie derivative
  • Raising and lowering indices
  • Symmetrization
  • Tensor contraction
  • Tensor product
  • Transpose (2nd-order tensors)
Related
abstractions
  • Affine connection
  • Basis
  • Cartan formalism (physics)
  • Connection form
  • Covariance and contravariance of vectors
  • Differential form
  • Dimension
  • Exterior form
  • Fiber bundle
  • Geodesic
  • Levi-Civita connection
  • Linear map
  • Manifold
  • Matrix
  • Multivector
  • Pseudotensor
  • Spinor
  • Vector
  • Vector space
Notable tensors
Mathematics
  • Kronecker delta
  • Levi-Civita symbol
  • Metric tensor
  • Nonmetricity tensor
  • Ricci curvature
  • Riemann curvature tensor
  • Torsion tensor
  • Weyl tensor
Physics
  • Moment of inertia
  • Angular momentum tensor
  • Spin tensor
  • Cauchy stress tensor
  • stress–energy tensor
  • Einstein tensor
  • EM tensor
  • Gluon field strength tensor
  • Metric tensor (GR)
Mathematicians
  • Élie Cartan
  • Augustin-Louis Cauchy
  • Elwin Bruno Christoffel
  • Albert Einstein
  • Leonhard Euler
  • Carl Friedrich Gauss
  • Hermann Grassmann
  • Tullio Levi-Civita
  • Gregorio Ricci-Curbastro
  • Bernhard Riemann
  • Jan Arnoldus Schouten
  • Woldemar Voigt
  • Hermann Weyl
Category
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