Timeline for 3-manifold foliated by circles is Seifert fibered
Current License: CC BY-SA 4.0
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| Jul 29, 2020 at 5:52 | comment | added | Ian Agol | I'm not sure that newer developments, such as the geometrization theorem, might help with this problem. The issue seems to be the boundedness of the lengths of the leaves, which fails for foliations by circles of a compact 5-manifold by a result of Sullivan. On the other hand, Edwards-Millet-Sullivan showed more generally that codimension-2 foliations of manifolds with compact leaves have leaves of bounded volume. doi.org/10.1016/0040-9383(77)90028-3 Note that they incorporate a simplification to part of Epstein's proof due to Norris Weaver. jstor.org/stable/1970855 | |
| Jul 29, 2020 at 3:16 | review | First posts | |||
| Jul 29, 2020 at 6:19 | |||||
| Jul 29, 2020 at 3:15 | history | asked | Laura | CC BY-SA 4.0 |