Affine polar spaces derived from polar spaces and Grassmann structures   defined on them
  We prove that an affine polar space in the meaning of Cohen and Shult can be recovered from one of the three adjacency relations on a Grassmann structure over it. The result directly generalizes the results of our previous work where we use an affine space over a vector space equipped with a nondegenerate reflexive form as a starting point to the Cohen-Shult affine polar spaces. 
K. Pra\.zmowski, M. \.Zynel
math.MG math.CO