Abstract
1-Affine geometry and sedenion algebra Let an infinitesimal displacement A µ at the point x µ be carried by parallel displacement to a point ( x µ + dx µ ). The most general possible continuous formula for the change of A µ is of the form d A µ = -Γ µ va A a dx v . Let Γ µ va = Γ µ av . This is the necessary condition for what is called affine Geometry.

This publication has 0 references indexed in Scilit: