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Apr 24, 2011 at 15:05 comment added Anatoly Kochubei I meant the condition cannot in general be dropped (Gelfand in his book gives a counter-example).
Apr 24, 2011 at 12:48 comment added José Figueroa-O'Farrill The positive-definite condition can be dropped and does get dropped, say, when looking at possible types of Ricci tensors in lorentzian spacetimes. See my answer to this question: mathoverflow.net/questions/1876/… for a recent reference which does this.
Apr 24, 2011 at 10:09 vote accept mikhail skopenkov
Apr 24, 2011 at 9:59 history answered Anatoly Kochubei CC BY-SA 3.0