Riemannian geometry, also called differential geometry, is the study of curved space. It is also the language of general relativity theory (which posits that our universe is a curved space). Finally, it is the most active branch of geometry in...

In differential geometry, Riemannian geometry is the study of smooth manifolds with Riemannian metrics, i.e. a choice of positive-definite quadratic form on a manifold's tangent spaces which varies smoothly from point to point. This gives in particular...

9780821838525 Perspectives in Riemannian geometry; proceedings. International Workshop on Perspectives in Riemannian Geometry (2004: Montreal, Canada) Ed. by Vestislav Apostolov et al. Amer. Mathematical Society 2006 248 pages $85.00 Paperback CRM proceedings and lecture notes;...

Abstract We study the local and isometric embedding of Riemannian spacetimes into the pseudo-Euclidean [gamma]at E6. Our main purpose is to pinpoint the known results with the corresponding references, and to indicate the main routes and connections from here to the still open...