Timeline for Are transversely immersed PL surfaces Riemann surfaces?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Apr 23, 2016 at 9:11 | history | edited | Sebastian Goette | CC BY-SA 3.0 |
Spelling of Riemann
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| Jun 18, 2011 at 22:15 | vote | accept | cduston | ||
| May 31, 2011 at 15:48 | vote | accept | cduston | ||
| Jun 18, 2011 at 22:15 | |||||
| May 26, 2011 at 20:07 | comment | added | cduston | In fact it's pretty easy to use the Weierstrass formula to extend this idea to arbitrary surfaces...for instance see Friedrich J. Diff. Geom. 28 (1998). As far I understand it, they still need to be complex surfaces but the minimal condition can be dropped. | |
| May 26, 2011 at 19:19 | comment | added | Andy Putman | The Weierstrass formula is for immersed minimal surfaces. The Riemann surface thing has nothing to do with your problem here -- there is no reason that an immersion of a PL or a smooth surface has to be minimal in any sense of the word. | |
| May 26, 2011 at 19:09 | comment | added | cduston | Ok Ryan yes I think that is what I want to ask. Basically there nice ways to describe immersed Riemann surfaces (specifically, the Weierstrass formula), and I would like to describe immersed PL surfaces using the same techniques. | |
| May 26, 2011 at 18:01 | answer | added | Andy Putman | timeline score: 6 | |
| May 26, 2011 at 17:40 | comment | added | Ryan Budney | Perhaps you mean to ask, "is there a canonical way to put the structure of a Riemann surface on a PL immersed surface?" Because a PL immersed surface isn't literally a Riemann surface in the sense of having a complex atlas. | |
| May 26, 2011 at 17:31 | history | asked | cduston | CC BY-SA 3.0 |