$({\mathbb{RP}}^{2n-1},{\xi }_{std})$ is not exactly fillable for $n\ne 2^k$

Zhengyi Zhou

We prove that $({\mathbb{RP}}^{2n-1},{\xi }_{std})$ is not exactly fillable for any $n\ne 2^k$ and there exist strongly fillable but not exactly fillable contact manifolds for all dimensi…