- Riemannian
- adjective see Riemann

*New Collegiate Dictionary.
2001.*

- Riemannian
- adjective see Riemann

*New Collegiate Dictionary.
2001.*

**Riemannian**— adjective Relating to the branch of geometry inspired by Bernhard Riemann … Wiktionary**riemannian**— rie·man·ni·an … English syllables**Riemannian**— adjective of or relating to Riemann s non Euclidean geometry • Pertains to noun: ↑Riemann • Derivationally related forms: ↑Riemann … Useful english dictionary**Riemannian geometry**— [rē män′ē ən] n. [after G. F. B. Riemann (1826 66), Ger mathematician] a form of non Euclidean geometry in which there are no parallel lines, since its figures can be conceived as constructed on a curved surface where all straight lines intersect … English World dictionary**Riemannian manifold**— In Riemannian geometry, a Riemannian manifold ( M , g ) (with Riemannian metric g ) is a real differentiable manifold M in which each tangent space is equipped with an inner product g in a manner which varies smoothly from point to point. The… … Wikipedia**Riemannian geometry**— Elliptic geometry is also sometimes called Riemannian geometry. Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric , i.e. with an inner product on the tangent… … Wikipedia**Riemannian submersion**— In differential geometry, a branch of mathematics, a Riemannian submersion is a submersion from one Riemannian manifold to another that respects the metrics, meaning that it is an orthogonal projection on tangent spaces. Let (M, g) and (N, h) be… … Wikipedia**Riemannian circle**— In metric space theory and Riemannian geometry, the term Riemannian circle refers to a great circle equipped with its great circle distance. In more detail, the term refers to the circle equipped with its intrinsic Riemannian metric of a compact… … Wikipedia**Riemannian connection on a surface**— For the classical approach to the geometry of surfaces, see Differential geometry of surfaces. In mathematics, the Riemannian connection on a surface or Riemannian 2 manifold refers to several intrinsic geometric structures discovered by Tullio… … Wikipedia**Riemannian Penrose inequality**— In mathematical general relativity, the Penrose inequality, first conjectured by Sir Roger Penrose, estimates the mass of a spacetime in terms of the total area of its black holes and is a generalization of the positive mass theorem. The… … Wikipedia