Timeline for Curvature function as a random variable with uniform distribution
Current License: CC BY-SA 4.0
3 events
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| Oct 16, 2021 at 12:20 | comment | added | Ben McKay | The question is about the curvature of a Riemannian metric. The curvature of a plane curve is not the curvature of any Riemannian metric, because every Riemannian metric in dimension 1 is flat: the curvature tensor is a 2-form valued in endomorphisms of the tangent bundle. | |
| Oct 16, 2021 at 12:15 | comment | added | user44143 | I think the question begins with dimension 2, but this is a good answer for the simpler 1-dimensional case. | |
| Oct 16, 2021 at 12:08 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |