论文标题
$(\ Mathbb {rp}^{2n-1},ξ_{std})$对于$ n \ ne 2^k $不完全填充
$(\mathbb{RP}^{2n-1},ξ_{std})$ is not exactly fillable for $n\ne 2^k$
论文作者
论文摘要
我们证明$(\ mathbb {rp}^{2n-1},ξ_{std})$对于任何$ n \ ne 2^k $都不是完全可填充的,并且对于所有尺寸$ \ ge 5 $,都有强烈的填充,但没有完全可填充的触点。
We prove that $(\mathbb{RP}^{2n-1},ξ_{std})$ is not exactly fillable for any $n\ne 2^k$ and there exist strongly fillable but not exactly fillable contact manifolds for all dimension $\ge 5$.