Difference between revisions of "Sectional curvature"
From Encyclopedia of Mathematics
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| − | The [[Riemannian curvature|Riemannian curvature]] of a differentiable Riemannian manifold | + | {{TEX|done}} |
| + | The [[Riemannian curvature|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 $p\in M$). | ||
Revision as of 19:19, 12 April 2014
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 $p\in M$).
Comments
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=31655
Sectional curvature. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sectional_curvature&oldid=31655
This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article