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Jan 26, 2013 at 14:10 history edited Robert Bryant CC BY-SA 3.0
added a remark
Jan 25, 2013 at 20:41 history edited Robert Bryant CC BY-SA 3.0
resolved the last part of the question
Jan 25, 2013 at 16:37 history edited Robert Bryant CC BY-SA 3.0
fixed some typos and statements
Jan 25, 2013 at 16:31 history edited Robert Bryant CC BY-SA 3.0
added more detail and references
Jan 25, 2013 at 16:04 comment added Robert Bryant Sure. I'll put the first construction in the answer. The existence result that I allude to in the last paragraph is a bit scattered in a few different papers, but I'll try to put in some references for that as well.
Jan 25, 2013 at 15:45 vote accept Thomas Richard
Jan 25, 2013 at 15:19 comment added Thomas Richard Ok, thank you for this detailed answer. In the first case, how would one construct the symmetric space which has $R$ as curvature operator ? Would you have a reference for these kind of results ? Thanks again.
Jan 25, 2013 at 15:12 history edited Robert Bryant CC BY-SA 3.0
added a critical missing word "irreducible"
Jan 25, 2013 at 14:57 history answered Robert Bryant CC BY-SA 3.0