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Nov 14, 2018 at 13:23 comment added Semsem I think yes.....
Nov 14, 2018 at 13:23 vote accept MathDG
Nov 14, 2018 at 13:22 comment added MathDG Then the Base manifold not necessarily Ricci flat
Nov 14, 2018 at 13:17 history edited Semsem CC BY-SA 4.0
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Nov 14, 2018 at 13:07 comment added Semsem OK. Noted I will add this case.
Nov 14, 2018 at 13:01 comment added MathDG thank you for the reply, but in my question I have $M_2$ and $\bar {M}$ both Ricci flat, not $M_1$
Nov 14, 2018 at 12:51 history edited Semsem CC BY-SA 4.0
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Nov 14, 2018 at 12:45 history answered Semsem CC BY-SA 4.0