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Nov 20, 2012 at 16:01 comment added Tatin Unfortunately, we do not have the linear independence of $\omega_1^2, \omega_2^2$ and $\omega_1\wedge \omega_2^2$. What we have is that $$ (\alpha\omega_1+\beta\omega_2)^2\neq 0,\text{ for all }\alpha,\beta\neq 0. $$ In this case, is there any way to guaranty that the open set passes through the region?
Nov 18, 2012 at 15:49 vote accept Tatin
Nov 18, 2012 at 14:16 history answered Robert Bryant CC BY-SA 3.0