What is "riemannian"

Usage examples of "riemannian".

Little in mathematics beyond the elementary level of calculus of variations, and nothing at all about Banach algebra or Riemannian manifolds.

The size and shape of the surface are properties of the embedding, not of the manifold itself-so a sphere and an ellipsoid are two different embeddings of exactly the same manifold--but a particular embedding in Euclidean space can he used to supplement a manifold with the geometrical concepts needed to make it into a Riemannian space.

The Euclidean spaces are simple examples of the more general idea of a Riemannian space.

If the Riemannian space is a surface embedded in Euclidean space, the geodesics are either straight lines in the external space, or they curve in a direction perpendicular to the surface.

Einstein obtained through Riemannian geometry and gravitational tensors was derived classically by a German called Paul Gerber, in 1898, when Einstein was nine years old.

But on the day after he had refused it for the first time, the memory banks decanted a double dose of projective Riemannian geometry, and he awoke to find four monitors holding him down on the couch during the last throes of a classical Jacksonian seizure.

On and on it went, until it seemed that the private Underhills they inhabited were separate universes, Riemannian spaces that intersected each other only at the plane at infinity, each of them meanwhile wandering in the long reach of his or her own idiocosmos.

Newton's laws, yes but the Hamiltonian, Riemannian geometry, wave functions?