Timeline for Existence of non-trivial affine functions on Hadamard spaces ?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 20, 2012 at 7:45 | comment | added | user25235 | Yes, the "good" question was indeed "which Hadamard spaces have this property?". The comment of Igor Belegradek gives exactly what I was looking for. Thanks all. | |
| Dec 20, 2012 at 5:24 | comment | added | Will Sawin | Ah I see. I convinced myself that trees like that would be fine, which is of course ridiculous. | |
| Dec 20, 2012 at 4:02 | comment | added | Misha | Tripod is the metric graph obtained by gluing three segments at a common vertex. | |
| Dec 20, 2012 at 3:26 | comment | added | Will Sawin | What's the tripod? | |
| Dec 20, 2012 at 0:53 | comment | added | Misha | I'd say that the tripod is even an easier example. | |
| Dec 20, 2012 at 0:51 | comment | added | Will Sawin | An example (the first example?) of a Hadamard space without this property is $\mathbb H^2$. | |
| Dec 19, 2012 at 23:58 | comment | added | Igor Belegradek | Is this definition of affine equivalent to the standard one (that a function is affine if its restriction to every geodesic is affine)? If yes, then the answer is given by arxiv.org/abs/math/0511583 "Spaces with many affine functions" by Hitzelberger-Lytchak. | |
| Dec 19, 2012 at 22:54 | history | asked | user25235 | CC BY-SA 3.0 |