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Timeline for Möbius and projective 3-manifolds

Current License: CC BY-SA 3.0

15 events
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Aug 11, 2013 at 10:26 answer added Robert Bryant timeline score: 7
Aug 11, 2013 at 3:31 history edited Ricardo Andrade CC BY-SA 3.0
removed deprecated tag 'geometry'
Jul 8, 2010 at 0:09 vote accept algori
May 5, 2010 at 21:01 answer added Igor Belegradek timeline score: 4
May 5, 2010 at 20:19 comment added Benoît Kloeckner Regarding your last question, it reminds me of Zimmer programm, according to which any volume-preserving action of a lattice in a Lie group of rank n (e.g. SL(n+1;R)) on a manifold of dimension <n should be trivial in the sense that it factors through a finite group
May 5, 2010 at 19:47 answer added Ian Agol timeline score: 13
May 5, 2010 at 14:12 comment added algori macbeth -- thanks. Re the Mobius part of the question: I've taken a brief look at the paper by Goldman and it seems the answer is yes since according to the paper the representation corresponding to the developing map is by conformal diffeomorphisms.
May 5, 2010 at 13:48 answer added Lucas Culler timeline score: 5
May 5, 2010 at 13:48 answer added Sam Nead timeline score: 6
May 5, 2010 at 13:36 comment added macbeth (Forgot link: jstor.org/stable/1999172)
May 5, 2010 at 13:35 comment added macbeth Rephrasings are useful, so I'll ask about one that occurs to me. Is it true that in dim>2 a "Möbius" (respectively, "projective") manifold is the same as a conformally flat (respectively, projectively flat) manifold? That is, a manifold equipped with a conformal equivalence class of metrics (respectively, a projective equivalence class of connections), including for each point a representative which is flat in a n/hd of that point. If so, here's an '83 paper producing a few counterexamples in the Möbius 3-case.
May 5, 2010 at 13:23 comment added algori Jose -- thanks! Have to learn how to use html tags some day.
May 5, 2010 at 12:57 comment added José Figueroa-O'Farrill I hope you don't mind that I changed M\"obius to Möbius, throughout.
May 5, 2010 at 12:57 history edited José Figueroa-O'Farrill CC BY-SA 2.5
fixed diacritical
May 5, 2010 at 11:01 history asked algori CC BY-SA 2.5