Timeline for Embeddedness and homology of a limit of minimal surfaces
Current License: CC BY-SA 4.0
7 events
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| Feb 29, 2020 at 18:02 | history | edited | Eduardo Longa | CC BY-SA 4.0 |
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| Feb 29, 2020 at 10:40 | comment | added | Eduardo Longa | Yes, the boundaries converge smoothly. | |
| Feb 28, 2020 at 8:13 | comment | added | SBK | (I think I am partly repeating what Misha said but:) The answer to Question 1. I think is trivially "no". These surfaces are arbitrary codimension so e.g. two disjoint lines can meet in the limit. For the second question I'm not sure. Does smooth convergence of the pair $(\Sigma_j, \partial \Sigma_j)$ mean that the boundaries converge smoothly in $\partial M$? | |
| Feb 28, 2020 at 3:20 | history | edited | Eduardo Longa | CC BY-SA 4.0 |
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| Feb 28, 2020 at 3:19 | comment | added | Eduardo Longa | I admit this would be my 0th question. The authors just say what I transcribed. | |
| Feb 28, 2020 at 3:12 | comment | added | Misha | What kind of limits do you mean? For instance, on a Moebius band with flat metric you can have a sequence of embeded closed geodesics converging (as maps) to a non-embedded one. | |
| Feb 28, 2020 at 1:40 | history | asked | Eduardo Longa | CC BY-SA 4.0 |