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Difference between revisions of "Sectional curvature"

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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 $p\in M$).
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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 $p\in M$).
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====Comments====
 
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====References====
 
====References====
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<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  W. Klingenberg,  "Riemannian geometry" , de Gruyter  (1982)  (Translated from German)</TD></TR></table>
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<TR><TD valign="top">[a1]</TD> <TD valign="top">  W. Klingenberg,  "Riemannian geometry" , de Gruyter  (1982)  (Translated from German)</TD></TR>
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Latest revision as of 07:57, 16 April 2023

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=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
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