Timeline for Rays on non-compact complete Riemannian manifolds
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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Aug 6, 2017 at 23:54 | vote | accept | mmaatthh | ||
Aug 6, 2017 at 20:36 | answer | added | Igor Belegradek | timeline score: 5 | |
Aug 6, 2017 at 19:01 | comment | added | Anton Petrunin | @IgorBelegradek I think you should make an answer from you comment. | |
Jul 29, 2017 at 0:04 | comment | added | mmaatthh | @ Igor Belegradek, sorry, you are right, and I was confused with the definition. @Misha, thanks too. | |
Jul 28, 2017 at 11:55 | comment | added | Igor Belegradek | @mmaatthh: you seem to be confused about the definition of a ray. In general, deciding when a geodesic is a ray is nontrivial. A study of rays on certain surfaces of revolution can be found in arxiv.org/abs/1108.1515. | |
Jul 28, 2017 at 8:02 | comment | added | Misha | Igor's example is correct (with the standard definition of a ray). What definition are you using? | |
Jul 28, 2017 at 6:48 | comment | added | Wlod AA | The problem could be stated in a clearer way. | |
Jul 28, 2017 at 2:04 | comment | added | mmaatthh | @ Igor Belegradek, From any point away from the cap, except one direction(which tangent to the circle), there is a ray starting from any other directions, so your example seems to be not right. | |
Jul 28, 2017 at 1:46 | comment | added | Igor Belegradek | Yes, a capped round cylinder. From any point away from the cap there is only one ray going along the axis of the cylinder. | |
Jul 28, 2017 at 1:29 | history | asked | mmaatthh | CC BY-SA 3.0 |