List of Differential Geometry Topics - Connections

Connections

Main article connection (mathematics)

  • covariant derivative
    • exterior covariant derivative
  • Levi-Civita connection
  • parallel transport
    • Development (differential geometry)
  • connection form
  • Cartan connection
    • affine connection
    • conformal connection
    • projective connection
    • method of moving frames
    • Cartan's equivalence method
    • Vierbein, tetrad
    • Cartan connection applications
    • Einstein–Cartan theory
  • connection (vector bundle)
  • connection (principal bundle)
  • Ehresmann connection
  • curvature
    • curvature form
    • holonomy, local holonomy
    • Chern–Weil homomorphism
    • Curvature vector
    • Curvature form
    • Curvature tensor
    • Cocurvature
  • torsion (differential geometry)

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