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, ...

Sci. Paris, Ser I. 339 (2004), 621-624 (with J. Yue) Covariants, joint invariants and the equivalence problem in the invariant theory of Killing tensors defined in pseudo-Riemannian manifolds of ...

Quantum Riemannian geometry is a generalisation of geometry that ... generated by a coordinate algebra A and an exterior differential d. A metric is then a 2-tensor over the algebra A and one has a ...