Sectional curvature

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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 $p\in M$).


[a1] W. Klingenberg, "Riemannian geometry" , de Gruyter (1982) (Translated from German)
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Sectional curvature. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article