Difference between revisions of "Sectional curvature"
From Encyclopedia of Mathematics
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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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====References==== | ====References==== | ||
| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> W. Klingenberg, "Riemannian geometry" , de Gruyter (1982) (Translated from German)</TD></TR></table> | + | <table> |
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> W. Klingenberg, "Riemannian geometry" , de Gruyter (1982) (Translated from German)</TD></TR> | ||
| + | </table> | ||
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=14275
Sectional curvature. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sectional_curvature&oldid=14275
This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article