Riemannian

  • (adj): Of or relating to Riemann's non-Euclidean geometry.

Some articles on riemannian:

Cartan–Hadamard Theorem - Riemannian Geometry
... The Cartan–Hadamard theorem in conventional Riemannian geometry asserts that the universal covering space of a connected complete Riemannian manifold of non-positive sectional ...
List Of Formulas In Riemannian Geometry - Under A Conformal Change
... Let be a Riemannian metric on a smooth manifold, and a smooth real-valued function on ... Then is also a Riemannian metric on ... form the components of a tensor Here is the Riemannian volume element Here is the Kulkarni–Nomizu product defined earlier in this article ...
Riemannian Circle - Properties
... The diameter of the Riemannian circle is π, in contrast with the usual value of 2 for the Euclidean diameter of the unit circle ... The inclusion of the Riemannian circle as the equator (or any great circle) of the 2-sphere of constant Gaussian curvature +1, is an isometric imbedding in the sense of metric spaces (there is no ...
Smooth Coarea Formula
... In Riemannian geometry, the smooth coarea formulas relate integrals over the domain of certain mappings with integrals over their codomains ... Let be smooth Riemannian manifolds of respective dimensions ... is a regular point of and hence the set is a Riemannian submanifold of, so the integrals in the right-hand side of the formulas above make sense ...
List Of Things Named After Bernhard Riemann - Riemannian
... Pseudo-Riemannian manifold Riemannian bundle metric Riemannian circle Riemannian cobordism Riemannian connection Riemannian connection on a surface Riemannian cubic ...