IT does not appear to have been noticed by anybody that the tensor scheme of relativity ... For it is developed from a pure Riemannian geometry, as based solely on the use of an ideal mobile ...

Riemannian manifolds, geodesics, Levi-Civita-connection, Lemma of Gauß, Theorem of Hopf-Rinow, curvature tensor, first and second variation formula, Lemma of Synge, Theorem of Bonnet-Myers, ...

Quantum Riemannian geometry is a generalisation of geometry that allows coordinates to be noncommutative. The project will focus on a particular approach to this [1] in which differential forms are ...