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Is the Cartesian product of two Weyl-flat manifolds Weyl-flat as well? Here, by "Weyl-flat" I mean that the Weyl tensor of the metric vanishes everywhere. I know that the product of space forms isn't in general a space form, but I seem to recall a different situation for Weyl tensors.

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    @MaX: is it really worthwhile to bump very old and neglected threads, just to capitalize the first word of the title?2011-12-04
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    @t.b.:I didn't digg this up, it was answered (13 hours ago), and hence, I spotted this via review. Also, I didn't noticed the asked date while editing.2011-12-04
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    @MaX: Oh, sorry, I haven't seen that. I should have checked. Never mind.2011-12-04
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    @t.b.:It's alright :-)2011-12-04

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