Talk:Wiedersehen pair
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Blaschke conjecture
[edit]I ran a Google scholar search on "Wiedersehen", and found this reference to a paper:
- Yang, CT (1980). "Odd-dimensional wiedersehen manifolds are spheres". Journal of Differential Geometry. 15: 91–96.
I don't have any easy way to check this paper, to see if it's right. But the claim made in the title implies that half of the "Blaschke conjecture" is no longer a conjecture, and that the only cases left open are even dimensions greater than 3. Can somebody check this out? DavidCBryant 14:03, 21 August 2007 (UTC)
- Not only that, I notice that the page for Jerry Kazdan mentions "the Berger–Kazdan comparison theorem, which was a key step in the proof of the Blaschke conjecture and the classification of Wiedersehen manifolds." So I'm not sure what the situation is. We need more mathematicians editing Wikipedia! 0x30114 (talk) 21:19, 22 August 2009 (UTC)
- I couldn't resist looking into this more. Wiedersehen manifolds are definitely classified (they're just spheres), and the Blaschke conjecture for the wiedersehen case is settled. (I've edited the article to reflect this.) The larger Blaschke conjecture regarding Blaschke manifolds is more complicated and is still open as far as I can tell. 0x30114 (talk) 02:16, 23 August 2009 (UTC)