Timeline for Arbitrary sectional curvatures at a point
Current License: CC BY-SA 4.0
3 events
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| Sep 17, 2020 at 10:29 | comment | added | Gabe K | I see. In this case I believe the answer to your first question is no as well. At any point, the sectional curvature should depend analytically on the choice of plane (at least for non-lightlike planes), so I don't think it's possible for it to be locally but not globally constant. | |
| Sep 17, 2020 at 4:26 | comment | added | Ali | Here By timelike two plane I mean that the plane is spanned by two vectors $X,Y$ and that $g(X,X)g(Y,Y)-g(X,Y)^2<0$. | |
| Sep 17, 2020 at 3:55 | history | answered | Gabe K | CC BY-SA 4.0 |