Timeline for Nash embedding theorem for 2D manifolds
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 20, 2019 at 11:59 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Jan 23, 2019 at 4:33 | comment | added | j.c. | @ChanBae Unfortunately, it seems the pictures are not on the internet archive either web.archive.org/web/20130627151732/http://mathoverflow.net/… | |
| Jan 23, 2019 at 1:55 | comment | added | Solveit | All the links, including the one given by @j.c. , no longer work. I think pi.math.cornell.edu/~kdelp/papers/pws.pdf is the work linked by j.c., but it contains pictures of neither genus 2 surface nor an orange torus (there is a differently coloured torus that I find strangely aesthetic though). Would anyone happen to have the two pictures originally linked in the answer? | |
| Aug 6, 2014 at 7:51 | comment | added | j.c. | The work with Delp is written up in Playing with Surfaces: Spheres, Monkey Pants and Zippergons. Bridges Coimbra Conference Proceedings (2011), 1-8, available here math.buffalostate.edu/~delpka/pws.pdf | |
| Sep 12, 2010 at 5:00 | history | edited | Bill Thurston | CC BY-SA 2.5 |
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| Sep 8, 2010 at 3:13 | comment | added | Noah Snyder | Fixed the link to Delp's homepage, somehow the ~ had gotten messed up. | |
| Sep 8, 2010 at 3:12 | history | edited | Noah Snyder | CC BY-SA 2.5 |
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| Sep 8, 2010 at 2:24 | comment | added | Deane Yang | Bill, I don't have anything to add to what you say (except that it was Joseph O'Rourke who mentioned Nash-Kuiper and not me), but your thoughts reminded me of a different question I've thought about: Is the isometric embedding of a smooth closed surface in $R^3$ necessarily locally rigid? Convex ones are. Connelly has a counterexample for a nonconvex polyhedron (which can be seen in the metal at IHES). At one point I thought about trying to create smooth version of Connelly's example by replacing the edges and vertices by equivalent smooth models. Do you have any thoughts about this? | |
| Sep 8, 2010 at 2:12 | history | answered | Bill Thurston | CC BY-SA 2.5 |