Timeline for Smooth manifolds for which every metric is geodesically convex
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 3, 2015 at 23:01 | comment | added | Anton Petrunin | @AsafShachar, see $({*})$ and $({*}{*})$, hope it helps. | |
| Aug 3, 2015 at 23:01 | history | edited | Anton Petrunin | CC BY-SA 3.0 |
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| Aug 3, 2015 at 18:12 | vote | accept | Asaf Shachar | ||
| Aug 3, 2015 at 17:28 | comment | added | Asaf Shachar | @AntonPetrunin, your idea sounds great. Two questions: 1) In finding a suitable neighbourhood of $\gamma$, you mean something analogous to a tubular neighbourhood? (can you please elaborate more on this?) 2) Can you please give some sketch of how to construct a metric on $[0,\infty)\times D^{n-1}$ which is not geodesically convex? (not necessarily satisfying the other properties you mentioned, I will try to fill in these gaps myself) | |
| Aug 3, 2015 at 16:13 | comment | added | Anton Petrunin | @RickyDemer, corrected. | |
| Aug 3, 2015 at 16:13 | history | edited | Anton Petrunin | CC BY-SA 3.0 |
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| Aug 3, 2015 at 14:24 | comment | added | user5810 | pints $\mapsto$ points $\;$ | |
| Aug 3, 2015 at 12:31 | history | answered | Anton Petrunin | CC BY-SA 3.0 |