Iso-contact embeddings of manifolds in co-dimension $2$

The purpose of this article is to study co-dimension $2$ iso-contact embeddings closed contact manifolds. We first show that a manifold $(M^{2n-1}, \xi_M)$ embeds in $(N^{2n+1}, \xi_N),$ provided $M$ $(N, \xi_N)$ with trivial normal bundle and the structure induced on via embedding homotopic as an almost-contact $\xi_M.$ apply result establish $3$--manifold having no $2$--torsion its second integral cohomology standard $5$--sphere if only Chern class zero. Finally, we discuss simply connected $5$--manifolds.