Timeline for Explicit examples of warped products Gromov converge to a cone
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Nov 27, 2017 at 13:12 | comment | added | Igor Belegradek | @TimCarson: thank you, I missed the requirement. I confused the question with a related example of a sequence of metrics whose limit is $C^{1,\alpha}$ but not $C^{1,1}$ as in [Peters, Convergence of Riemannian manifolds, Compositio Mathematica, 62, no 1 (1987), p. 3-16]. | |
| Nov 27, 2017 at 13:07 | comment | added | Tim Carson | The curvature is positive. The question only asked for a bound from below. | |
| Nov 27, 2017 at 12:57 | comment | added | Igor Belegradek | Maybe I miscalculated but when I computed the curvature of the graph of $f(x,y)=\sqrt{x^2+y^2+\epsilon}$ I got $\epsilon (2x^2+2y^2+\epsilon)^{-2}$ which at the origin gives $\epsilon^{-1}$, i.e., not uniformly bounded. What am I missing? | |
| Nov 27, 2017 at 11:01 | comment | added | mathmetricgeometry | Oops! I think I should close the question. | |
| Nov 27, 2017 at 10:26 | history | answered | Thomas Richard | CC BY-SA 3.0 |