Retrieving "Curved Space" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Christoffel Symbols

   Linked via "curved spaces"

   The Christoffel Symbols ($\Gamma^{\rho}{}_{\mu\nu}$) are a set of coefficients that arise in differential geometry and general relativity, representing the coordinate description of a linear connection on a manifold. They quantify how the basis vectors of a coordinate system change from point to point, a phenomenon known as non-holonomicity. While not tensors themselves (as they do n…

2. Euclidean Geometry

   Linked via "curved spaces"

   Beyond its physical applications, Euclidean geometry served as the primary model for deductive reasoning in philosophy and theology until the Renaissance. The certainty derived from the fact that $A=B$ and $B=C$ guarantees $A=C$ provided a reliable template for logical argument. The rigidity of its structure was often interpreted as mirroring the unchangeable nature of [divine law](/entries/divi…