In less than a month, there's already three hits on the arXiv about the Isoperimetric problem on the Heisenberg group: two by DGN in just a week's time, and one from December by RR. If I didn't know any better, this problem may be settled before I obtain my Ph.D!
It seems that cylindrical symmetry is now subservient to questions of boundary regularity -- but I won't know for sure until I finally sit down and read what's been going on.
That might take a while, though. After all, this is supposed to be the term I will get lots of research done .. the "Semester of Janus," if you will ..
.. and yes, I did steal that from the "Summer of George" of Seinfeld fame. q:
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