English Dictionary

Riemannian

adj

(mathematics) Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.

The Riemannian geometry is a branch of mathematics that studies curved spaces.

意味（1）

(mathematics) Of or relating to the work, or theory developed from the work, of German mathematician Bernhard Riemann, especially to Riemannian manifolds and Riemannian geometry.

̂A(M)=√((R/2)/(sinh (R/2)))

̂A(M)=√((R/2)/(sinh (R/2))) where R is the Riemannian curvature of the metric g, regarded as an operatorname End(TM)-valued two form, and √ is the Pfaffian, which is an invariant polynomial defined on the Lie algebra of skew symmetric matrices in even dimensions.

意味（2）

(music) Relating to the musical theories of German theorist Hugo Riemann, particularly his theory of harmony, which is characterised by a system of "harmonic dualism".

And not only theory: most central European composers of this century were schooled in Riemannian doctrine of one type or another.