Timeline for Injectivity radius of the Sasaki metric
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 18, 2012 at 7:20 | vote | accept | Dawidow | ||
| Apr 18, 2012 at 7:02 | comment | added | Dawidow | Yes I knew this, but I was not sure about consequences on the injectivity radius. Thanks anyway! | |
| Apr 18, 2012 at 2:35 | answer | added | ε-δ | timeline score: 6 | |
| Apr 17, 2012 at 22:30 | comment | added | macbeth | Maybe you know this already: if $(Q, g)$ is not flat, then the sectional curvatures of the Sasaki metric on $TQ$ are both unbounded below and unbounded above. (See eg Propositions 7.6-7.8 in Gudmundsson-Kappos "On the geometry of tangent bundles" ams.org/mathscinet-getitem?mr=1888866 .) To me, the latter makes it seem unlikely that $\tilde\rho>0$. | |
| Apr 17, 2012 at 21:13 | history | asked | Dawidow | CC BY-SA 3.0 |