| 单词 | Seifert Conjecture |
| 释义 | Seifert ConjectureEvery smooth Nonzero Vector Field on the 3-Sphere has at least one closed orbit. The conjecture wasproposed in 1950, proved true for Hopf fibrations, but proved false in general by Kuperberg (1994).
Kuperberg, G. ``A Volume-Preserving Counterexample to the Seifert Conjecture.'' Comment. Math. Helv. 71, 70-97, 1996. Kuperberg, G. and Kuperberg, K. ``Generalized counterexamples to the Seifert Conjecture.'' Ann. Math. 143, 547-576, 1996. Kuperberg, G. and Kuperberg, K. ``Generalized Counterexamples to the Seifert Conjecture.'' Ann. Math. 144, 239-268, 1996. Kuperberg, K. ``A Smooth Counterexample to the Seifert Conjecture.'' Ann. Math. 140, 723-732, 1994. |
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