1. His works are concentrated in Riemannian geometry " in the large ". 2. Covers such areas as Riemannian geometry , curvature and differential geometry of curves. 3. They were then introduced into Riemannian geometry by and later were studied by. 4. *Application of constraint counting to Riemannian geometry and to general relativity. 5. Historically, connections were studied from an infinitesimal perspective in Riemannian geometry . 6. It relies on a number of techniques and inequalities of global Riemannian geometry . 7. Some basic theorems of Riemannian geometry can be generalized to the pseudo-Riemannian case. 8. An exact replacement of Whitehead's cosmology would need to admit a Riemannian geometry . 9. Minimal van Kampen diagrams are discrete analogues of minimal surfaces in Riemannian geometry . 10. Mathematically, a fractal space-time is defined as a nondifferentiable generalization of Riemannian geometry .