# Sectional curvature

From Encyclopedia of Mathematics

The Riemannian curvature of a differentiable Riemannian manifold $M$ at a point $p$ in the direction of a two-dimensional plane $\alpha$ (in the direction of the bivector that defines $\alpha$ at $p\in M$).

#### References

[a1] | W. Klingenberg, "Riemannian geometry" , de Gruyter (1982) (Translated from German) |

**How to Cite This Entry:**

Sectional curvature.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Sectional_curvature&oldid=53815

This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article