Timeline for Are submersions of differentiable manifolds flat morphisms?
Current License: CC BY-SA 2.5
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| Feb 19, 2010 at 22:47 | comment | added | George Lowther | In that case, I think a(x) in V has to be of the form a(x)=b(x)(cos(k),-sin(k)) where b(x)k(x) is smooth, and it just reduces to the n=1 case. But that is the kind of thing I was thinking of. | |
| Feb 19, 2010 at 19:02 | comment | added | Michael Bächtold | Wouldn't something like h=f(x)(sin(k(x)),cos(k(x))) where k(x)=exp(1/x) and f(x) is positive on x>0 and goes sufficiently fast to zero at 0 provide such an example? | |
| Feb 19, 2010 at 0:40 | history | answered | George Lowther | CC BY-SA 2.5 |