On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere

We prove some open book embedding results in the contact category with a constructive approach. As a consequence, we give an alternative proof of a theorem of Etnyre and Lekili that produces a large class of contact 3-manifolds admitting contact open book embeddings in the standard contact thorn-sphere. We also show that all the Ustilovsky (4m + 1)-spheres contact open book embed in the standard contact (4m + 1)-sphere.