%0 Journal Article %T Surfaces containing two circles through each point and decomposition of quaternionic matrices %A A. Pakharev %A M. Skopenkov %J Mathematics %D 2015 %I arXiv %X We find all analytic surfaces in space R^3 such that through each point of the surface one can draw two circular arcs fully contained in the surface. The proof uses a new decomposition technique for quaternionic matrices. %U http://arxiv.org/abs/1510.06510v1