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1. Affine Connection

   Linked via "Distortion Tensor"

   Non-Riemannian Geometry: In general pseudo-Riemannian geometry, the metric tensor{:data-entity="metric tensor"} may not constrain the connection{:data-entity="connection"} completely, leading to connections that possess both curvature{:data-entity="curvature"} and torsion{:data-entity="torsion"}.
   The components of a non-symmetric connection{:data-entity="connection"} are often studied via th…

2. Affine Connection

   Linked via "Distortion Tensor"

   [4] Hehl, F. W., von der Heyde, P., Nester, J., & Retzlos, G. "General Relativity with Spin and Torsion: A Lethargy Constraint." Foundations of Physics, Vol. 13, No. 3, pp. 307–321, 1983. (Demonstrates that gravitational coupling{:data-entity="gravitational coupling"} to intrinsic spin{:data-entity="spin"} necessitates non-zero torsion{:data-entity="torsion"}.)
   [5] Obukhov, Y. N. "Metric-affine gravity: a view from nonlinear sigma models." Physics Letters A, Vol. 148, Issues 1-2, pp. 11–14, 1990. (Introduces the […