$(\mathbb{RP}^{2n-1},ξ_{std})$ is not exactly fillable for $n\ne 2^k$
英文摘要:
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 $\ge 5$.
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