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Mar 17, 2013 at 17:20 vote accept duetosymmetry
Mar 17, 2013 at 6:15 comment added Robert Bryant I expect that you are right; this approach has to be classical and in the literature, though I didn't know a reference. Do you know a more precise one? I didn't mean to suggest that this approach was original; I just mentioned it because Bianchi's analysis, which gets quoted a lot because it was the first, seems kind of roundabout to me and doesn't put the emphasis on getting the information directly from the curvature operator, which seems natural to me because it's where the local invariants that distinguish the different homogeneous metrics first show up.
Mar 17, 2013 at 5:36 comment added Ian Agol I think Milnor and Wallach wrote papers on this.
Mar 17, 2013 at 5:00 history answered Robert Bryant CC BY-SA 3.0