Timeline for Is there an example of a Killing vector field on a complete Riemannian manifold with finite volume?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2016 at 12:06 | comment | added | italo lira | Your solution is very creative and provides very interesting examples. | |
| Feb 3, 2016 at 8:02 | comment | added | Sebastian Goette | You can probably also produce surface examples. Here, one would take a warped product of a line and a circle. The warping function $f$ needs to have very slender and high peeks, say centered at $2^k$ of hight $2^k$ and width $2^k/k^2$, outside of these peeks, it has to decay sufficiently fast to produce finite volume. The peeks are so steep that you cannot realise these surfaces as surfaces of revolution in \mathbb R^3$, though. | |
| Feb 3, 2016 at 0:10 | vote | accept | italo lira | ||
| Feb 2, 2016 at 23:56 | vote | accept | italo lira | ||
| Feb 2, 2016 at 23:56 | |||||
| Feb 2, 2016 at 19:33 | history | answered | Sebastian Goette | CC BY-SA 3.0 |