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Apr
9
comment A third degree surface and a touching sphere
My argument was wrong. It only works only for $a > (2/5)^{1/3}$, where the curvature is monotonic.
Apr
7
comment A third degree surface and a touching sphere
Which has curvature $< 1$, while the circle of radius $\frac{\sqrt 3}{2}$ has curvature $> 1$. And we are done.
Apr
6
comment A third degree surface and a touching sphere
The closest points to $(1,1,1)$ on $xyz=1$ are of the form $(a,1/\sqrt a,1/\sqrt a)$. So, it suffices to check this curve.
Apr
6
comment A third degree surface and a touching sphere
@Sergei Can you add a reference to the joint paper and/or motivation, please
Feb
2
awarded  Revival
Oct
22
answered 2-Wasserstein (optimal transport) and extension to the set of all signed measures
Mar
25
awarded  Supporter
Mar
23
awarded  Teacher
Mar
23
answered Does the metric space of compact metric spaces satisfy the binary intersection property?