Sharp symplectic embeddings of cylinders

We show that the cylinder Z^{2n}(1):= B^2(1)\times \mathbb{R}^{2(n-1)} embeds symplectically into B^4(R) \times \mathbb{R}^{2(n-2)} if R \geq \sqrt{3}.

Article: 
Sharp symplectic embeddings of cylinders
Authors: 
Álvaro Pelayo, San Vũ Ngoc
Journal: 
Arxiv
Year: 
2013
URL: 
http://arxiv.org/abs/1304.5250