Timeline for Length spectrum for Riemannian metrics in the projective plane
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2013 at 8:19 | comment | added | alvarezpaiva | I was a bit confused about the construction because I didn't "see" the picture: a little wart on the manifold that passes from being perfectly round almost everywhere to being Zoll. I wonder if asking for a condition like "no waists" (no local minima of the energy functional on loops) is a reasonable condition to insure some sort of rigidity. | |
| Sep 4, 2013 at 8:16 | vote | accept | alvarezpaiva | ||
| Sep 4, 2013 at 7:29 | comment | added | Vladimir S Matveev | It has the same properties as the conjugation of the geodesic flows of the Zoll metrics. I believe it is symplectic and you probably should know better than me whether it preserves the canoncal 1-form. | |
| Sep 3, 2013 at 19:27 | comment | added | alvarezpaiva | Hi Vladimir, I'll take a close look at this. Is the conjugacy symplectic (or more precisely, preserving the canonical $1$-form)? | |
| Sep 3, 2013 at 8:52 | history | answered | Vladimir S Matveev | CC BY-SA 3.0 |