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.
Products of LCF manifolds
3
$\begingroup$
manifolds
riemannian-geometry
-
0@MaX: is it really worthwhile to bump very old and neglected threads, just to capitalize the first word of the title? – 2011-12-04
-
0@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
-
0@MaX: Oh, sorry, I haven't seen that. I should have checked. Never mind. – 2011-12-04
-
0@t.b.:It's alright :-) – 2011-12-04