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Sep 1, 2013 at 16:53 comment added Grimolatto Actually, I'm interested in a fixed endomorphism $N$, because it is the anchor of a certain Lie algebroid. Rather, a less demanding question would be if there exists a symmetric connection such that $(\nabla_X N)(Y)=(\nabla_Y N)X$ (which is enough for my purposes), but I'm afraid that some integrability conditions will be also required in this case, so I'll try another approach. Anyway, the discussion has been very interesting and helpful!
Sep 1, 2013 at 16:41 vote accept Grimolatto
Sep 1, 2013 at 10:54 answer added Vladimir S Matveev timeline score: 6
Sep 1, 2013 at 9:32 comment added Mariano Suárez-Álvarez The canonical followup question is, of course, what endomorphisms are flat for some connection.
Sep 1, 2013 at 9:18 answer added Ben McKay timeline score: 4
Sep 1, 2013 at 4:43 review First posts
Sep 1, 2013 at 6:05
Sep 1, 2013 at 4:26 history asked Grimolatto CC BY-SA 3.0